%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP011_1 : TPTP v9.2.1. Bugfixed v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n009.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:24:32 AM UTC 2026 % Result : Theorem 63.24s 63.41s % Output : Proof 63.24s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP011_1 : TPTP v9.2.1. Bugfixed v7.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n009.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 03:47:44 EDT 2026 % 0.16/0.34 % CPUTime : % 0.30/0.52 %----Proving TF0_NAR, FOF, or CNF % 63.24/63.41 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 63.24/63.41 --- Run --no-e-matching --full-saturate-quant at 6... % 63.24/63.41 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 63.24/63.41 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 63.24/63.41 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 63.24/63.41 % SZS status Theorem % 63.24/63.41 % SZS output start Proof % 63.24/63.41 ( % 63.24/63.41 (declare-sort tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 0) % 63.24/63.41 (declare-sort tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 0) % 63.24/63.41 (declare-sort tptp.mono_2Etyop_2Emin_2Ebool 0) % 63.24/63.41 (declare-sort tptp.d 0) % 63.24/63.41 (declare-sort tptp.u 0) % 63.24/63.41 (declare-sort tptp.du 0) % 63.24/63.41 (declare-const tptp.c_2Eoption_2ENONE_2E0 tptp.u) % 63.24/63.41 (declare-const tptp.mono_2Ec_2Ebool_2E_7E_2E0 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29) % 63.24/63.41 (declare-const tptp.c_2Eoption_2Eoption__CASE_2E3 (-> tptp.du tptp.du tptp.du tptp.u)) % 63.24/63.41 (declare-const tptp.c_2Eoption_2Eoption__CASE_2E0 tptp.u) % 63.24/63.41 (declare-const tptp.mono_2Ec_2Ebool_2E_5C_2F_2E0 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29) % 63.24/63.41 (declare-const tptp.c_2Eoption_2ETHE_2E1 (-> tptp.du tptp.u)) % 63.24/63.41 (declare-const tptp.c_2Eoption_2ETHE_2E0 tptp.u) % 63.24/63.41 (declare-const tptp.c_2Eoption_2ESOME_2E1 (-> tptp.du tptp.u)) % 63.24/63.41 (declare-const tptp.c_2Eoption_2ESOME_2E0 tptp.u) % 63.24/63.41 (declare-const tptp.c_2Eoption_2EOPTREL_2E3 (-> tptp.du tptp.du tptp.du tptp.u)) % 63.24/63.41 (declare-const tptp.c_2Eoption_2EOPTREL_2E0 tptp.u) % 63.24/63.41 (declare-const tptp.c_2Eoption_2EOPTION__MAP_2E2 (-> tptp.du tptp.du tptp.u)) % 63.24/63.41 (declare-const tptp.c_2Eoption_2EOPTION__MAP_2E0 tptp.u) % 63.24/63.41 (declare-const tptp.c_2Eoption_2EOPTION__JOIN_2E1 (-> tptp.du tptp.u)) % 63.24/63.41 (declare-const tptp.c_2Eoption_2EOPTION__JOIN_2E0 tptp.u) % 63.24/63.41 (declare-const tptp.c_2Eoption_2EIS__SOME_2E1 (-> tptp.du tptp.u)) % 63.24/63.41 (declare-const tptp.c_2Eoption_2EIS__SOME_2E0 tptp.u) % 63.24/63.41 (declare-const tptp.c_2Eoption_2EIS__NONE_2E1 (-> tptp.du tptp.u)) % 63.24/63.41 (declare-const tptp.c_2Eoption_2EIS__NONE_2E0 tptp.u) % 63.24/63.41 (declare-const tptp.tyop_2Eoption_2Eoption (-> tptp.d tptp.d)) % 63.24/63.41 (declare-const tptp.c_2Ebool_2E_3F_2E0 tptp.u) % 63.24/63.41 (declare-const tptp.mono_2Ec_2Emin_2E_3D_3D_3E_2E2 (-> tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Ebool)) % 63.24/63.41 (declare-const tptp.mono_2Ec_2Ebool_2E_2F_5C_2E2 (-> tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Ebool)) % 63.24/63.41 (declare-const tptp.mono_2Ec_2Ebool_2E_7E_2E1 (-> tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Ebool)) % 63.24/63.41 (declare-const tptp.s (-> tptp.d tptp.u tptp.du)) % 63.24/63.41 (declare-const tptp.combin_k_2E0 tptp.u) % 63.24/63.41 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 tptp.u)) % 63.24/63.41 (declare-const tptp.combin_i_2E0 tptp.u) % 63.24/63.41 (declare-const tptp.p (-> tptp.mono_2Etyop_2Emin_2Ebool Bool)) % 63.24/63.41 (declare-const tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 tptp.u)) % 63.24/63.41 (declare-const tptp.app_2E2 (-> tptp.du tptp.du tptp.u)) % 63.24/63.41 (declare-const tptp.i_mono_2Etyop_2Emin_2Ebool (-> tptp.mono_2Etyop_2Emin_2Ebool tptp.u)) % 63.24/63.41 (declare-const tptp.mono_2Ec_2Ebool_2EF_2E0 tptp.mono_2Etyop_2Emin_2Ebool) % 63.24/63.41 (declare-const tptp.mono_2Ec_2Ebool_2ET_2E0 tptp.mono_2Etyop_2Emin_2Ebool) % 63.24/63.41 (declare-const tptp.tyop_2Emin_2Ebool tptp.d) % 63.24/63.41 (declare-const tptp.mono_2Ec_2Ebool_2E_5C_2F_2E2 (-> tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Ebool)) % 63.24/63.41 (declare-const tptp.tyop_2Emin_2Efun (-> tptp.d tptp.d tptp.d)) % 63.24/63.41 (declare-const tptp.c_2Emin_2E_3D_2E2 (-> tptp.du tptp.du tptp.u)) % 63.24/63.41 (declare-const tptp.combin_s_2E0 tptp.u) % 63.24/63.41 (declare-const tptp.j_mono_2Etyop_2Emin_2Ebool (-> tptp.du tptp.mono_2Etyop_2Emin_2Ebool)) % 63.24/63.41 (declare-const tptp.c_2Ebool_2E_21_2E0 tptp.u) % 63.24/63.41 (declare-const tptp.c_2Ebool_2E_21_2E1 (-> tptp.du tptp.u)) % 63.24/63.41 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (-> tptp.du tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29)) % 63.24/63.41 (declare-const tptp.c_2Ebool_2E_3F_2E1 (-> tptp.du tptp.u)) % 63.24/63.41 (declare-const tptp.mono_2Ec_2Ebool_2E_2F_5C_2E0 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29) % 63.24/63.41 (declare-const tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 (-> tptp.du tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29)) % 63.24/63.41 (declare-const tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29)) % 63.24/63.41 (declare-const tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool (-> tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 tptp.mono_2Etyop_2Emin_2Ebool tptp.mono_2Etyop_2Emin_2Ebool)) % 63.24/63.41 (declare-const tptp.c_2Emin_2E_3D_2E0 tptp.u) % 63.24/63.41 (declare-const tptp.mono_2Ec_2Emin_2E_3D_3D_3E_2E0 tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29) % 63.24/63.41 (define @t1 () (@var "V1g_2E0" tptp.u)) % 63.24/63.41 (define @t2 () (@var "A_27b" tptp.d)) % 63.24/63.41 (define @t3 () (@var "A_27a" tptp.d)) % 63.24/63.41 (define @t4 () (tptp.tyop_2Emin_2Efun @t3 @t2)) % 63.24/63.41 (define @t5 () (tptp.s @t4 @t1)) % 63.24/63.41 (define @t6 () (@var "V0f_2E0" tptp.u)) % 63.24/63.41 (define @t7 () (tptp.s @t4 @t6)) % 63.24/63.41 (define @t8 () (@var "V2x_2E0" tptp.u)) % 63.24/63.41 (define @t9 () (tptp.s @t3 @t8)) % 63.24/63.41 (define @t10 () (tptp.s @t2 (tptp.app_2E2 @t5 @t9))) % 63.24/63.41 (define @t11 () (@var "V1_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 63.24/63.41 (define @t12 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 63.24/63.41 (define @t13 () (= @t12 @t11)) % 63.24/63.41 (define @t14 () (tptp.p @t11)) % 63.24/63.41 (define @t15 () (tptp.p @t12)) % 63.24/63.41 (define @t16 () (= @t15 @t14)) % 63.24/63.41 (define @t17 () (@list @t12 @t11)) % 63.24/63.41 (define @t18 () (forall @t17 (=> @t16 @t13))) % 63.24/63.41 (define @t19 () (tptp.p tptp.mono_2Ec_2Ebool_2ET_2E0)) % 63.24/63.41 (define @t20 () (tptp.p tptp.mono_2Ec_2Ebool_2EF_2E0)) % 63.24/63.41 (define @t21 () (not @t20)) % 63.24/63.41 (define @t22 () (@var "V0t_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 63.24/63.41 (define @t23 () (= @t22 tptp.mono_2Ec_2Ebool_2EF_2E0)) % 63.24/63.41 (define @t24 () (= @t22 tptp.mono_2Ec_2Ebool_2ET_2E0)) % 63.24/63.41 (define @t25 () (or @t24 @t23)) % 63.24/63.41 (define @t26 () (@list @t22)) % 63.24/63.41 (define @t27 () (forall @t26 @t25)) % 63.24/63.41 (define @t28 () (@var "V0x_2E0" tptp.u)) % 63.24/63.41 (define @t29 () (tptp.s @t3 @t28)) % 63.24/63.41 (define @t30 () (@list @t3 @t28)) % 63.24/63.41 (define @t31 () (@var "V1y_2E0" tptp.u)) % 63.24/63.41 (define @t32 () (tptp.tyop_2Emin_2Efun @t2 @t3)) % 63.24/63.41 (define @t33 () (@var "A_27c" tptp.d)) % 63.24/63.41 (define @t34 () (tptp.tyop_2Emin_2Efun @t2 @t33)) % 63.24/63.41 (define @t35 () (tptp.tyop_2Emin_2Efun @t3 @t34)) % 63.24/63.41 (define @t36 () (tptp.s @t35 @t6)) % 63.24/63.41 (define @t37 () (tptp.tyop_2Emin_2Efun @t3 @t33)) % 63.24/63.41 (define @t38 () (tptp.tyop_2Emin_2Efun @t4 @t37)) % 63.24/63.41 (define @t39 () (not @t15)) % 63.24/63.41 (define @t40 () (@list @t12)) % 63.24/63.41 (define @t41 () (@var "V1_2E0" tptp.u)) % 63.24/63.41 (define @t42 () (tptp.s @t3 @t41)) % 63.24/63.41 (define @t43 () (@var "V0_2E0" tptp.u)) % 63.24/63.41 (define @t44 () (tptp.s @t3 @t43)) % 63.24/63.41 (define @t45 () (@var "V1x_2E0" tptp.u)) % 63.24/63.41 (define @t46 () (tptp.s @t3 @t45)) % 63.24/63.41 (define @t47 () (tptp.tyop_2Emin_2Efun @t3 tptp.tyop_2Emin_2Ebool)) % 63.24/63.41 (define @t48 () (tptp.s @t47 @t6)) % 63.24/63.41 (define @t49 () (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t48 @t46))))) % 63.24/63.41 (define @t50 () (@list @t45)) % 63.24/63.41 (define @t51 () (@list @t3 @t6)) % 63.24/63.41 (define @t52 () (tptp.s tptp.tyop_2Emin_2Ebool @t43)) % 63.24/63.41 (define @t53 () (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool (tptp.j_mono_2Etyop_2Emin_2Ebool @t52)))) % 63.24/63.41 (define @t54 () (@list @t43)) % 63.24/63.41 (define @t55 () (forall @t54 (= @t53 @t52))) % 63.24/63.41 (define @t56 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool tptp.tyop_2Emin_2Ebool)) % 63.24/63.41 (define @t57 () (tptp.s @t56 @t43)) % 63.24/63.41 (define @t58 () (tptp.tyop_2Emin_2Efun tptp.tyop_2Emin_2Ebool @t56)) % 63.24/63.41 (define @t59 () (tptp.s @t58 @t43)) % 63.24/63.41 (define @t60 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29)) % 63.24/63.41 (define @t61 () (tptp.s @t56 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t60))) % 63.24/63.41 (define @t62 () (@var "V0_2E0" tptp.mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29)) % 63.24/63.41 (define @t63 () (tptp.s @t58 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @t62))) % 63.24/63.41 (define @t64 () (@var "X0_2E0" tptp.u)) % 63.24/63.41 (define @t65 () (tptp.s @t47 @t64)) % 63.24/63.41 (define @t66 () (tptp.tyop_2Emin_2Efun @t47 tptp.tyop_2Emin_2Ebool)) % 63.24/63.41 (define @t67 () (@list @t3 @t64)) % 63.24/63.41 (define @t68 () (@var "X1_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 63.24/63.41 (define @t69 () (@var "X0_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 63.24/63.41 (define @t70 () (tptp.p @t68)) % 63.24/63.41 (define @t71 () (tptp.p @t69)) % 63.24/63.41 (define @t72 () (@list @t69 @t68)) % 63.24/63.41 (define @t73 () (@var "X1_2E0" tptp.u)) % 63.24/63.41 (define @t74 () (tptp.s @t3 @t73)) % 63.24/63.41 (define @t75 () (tptp.s @t3 @t64)) % 63.24/63.41 (define @t76 () (tptp.tyop_2Emin_2Efun @t3 @t47)) % 63.24/63.41 (define @t77 () (tptp.tyop_2Eoption_2Eoption @t3)) % 63.24/63.41 (define @t78 () (tptp.s @t77 @t64)) % 63.24/63.41 (define @t79 () (tptp.tyop_2Emin_2Efun @t77 tptp.tyop_2Emin_2Ebool)) % 63.24/63.41 (define @t80 () (tptp.tyop_2Eoption_2Eoption @t77)) % 63.24/63.41 (define @t81 () (tptp.s @t80 @t64)) % 63.24/63.41 (define @t82 () (tptp.s @t77 @t73)) % 63.24/63.41 (define @t83 () (tptp.s @t4 @t64)) % 63.24/63.41 (define @t84 () (tptp.tyop_2Eoption_2Eoption @t2)) % 63.24/63.41 (define @t85 () (tptp.tyop_2Emin_2Efun @t77 @t84)) % 63.24/63.41 (define @t86 () (@var "X2_2E0" tptp.u)) % 63.24/63.41 (define @t87 () (tptp.s @t77 @t86)) % 63.24/63.41 (define @t88 () (tptp.s @t76 @t64)) % 63.24/63.41 (define @t89 () (tptp.tyop_2Emin_2Efun @t77 @t79)) % 63.24/63.41 (define @t90 () (@list @t3 @t64 @t73 @t86)) % 63.24/63.41 (define @t91 () (tptp.s @t84 @t86)) % 63.24/63.41 (define @t92 () (tptp.tyop_2Emin_2Efun @t2 tptp.tyop_2Emin_2Ebool)) % 63.24/63.41 (define @t93 () (tptp.tyop_2Emin_2Efun @t3 @t92)) % 63.24/63.41 (define @t94 () (tptp.s @t93 @t64)) % 63.24/63.41 (define @t95 () (tptp.tyop_2Emin_2Efun @t84 tptp.tyop_2Emin_2Ebool)) % 63.24/63.41 (define @t96 () (tptp.tyop_2Emin_2Efun @t77 @t95)) % 63.24/63.41 (define @t97 () (@list @t3 @t2 @t64 @t73 @t86)) % 63.24/63.41 (define @t98 () (tptp.tyop_2Emin_2Efun @t3 @t77)) % 63.24/63.41 (define @t99 () (tptp.s @t98 tptp.c_2Eoption_2ESOME_2E0)) % 63.24/63.41 (define @t100 () (tptp.s @t2 @t64)) % 63.24/63.41 (define @t101 () (tptp.s @t4 @t86)) % 63.24/63.41 (define @t102 () (tptp.s @t2 @t73)) % 63.24/63.41 (define @t103 () (tptp.tyop_2Emin_2Efun @t4 @t2)) % 63.24/63.41 (define @t104 () (tptp.tyop_2Emin_2Efun @t2 @t103)) % 63.24/63.41 (define @t105 () (tptp.s @t98 @t86)) % 63.24/63.41 (define @t106 () (tptp.tyop_2Emin_2Efun @t98 @t77)) % 63.24/63.41 (define @t107 () (tptp.tyop_2Emin_2Efun @t77 @t106)) % 63.24/63.41 (define @t108 () (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool @t11))) % 63.24/63.41 (define @t109 () (@var "V1t2_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 63.24/63.41 (define @t110 () (@var "V0t1_2E0" tptp.mono_2Etyop_2Emin_2Ebool)) % 63.24/63.41 (define @t111 () (tptp.p @t110)) % 63.24/63.41 (define @t112 () (tptp.p @t109)) % 63.24/63.41 (define @t113 () (tptp.p @t22)) % 63.24/63.41 (define @t114 () (not @t19)) % 63.24/63.41 (define @t115 () (not @t113)) % 63.24/63.41 (define @t116 () (= @t23 @t115)) % 63.24/63.41 (define @t117 () (= tptp.mono_2Ec_2Ebool_2EF_2E0 @t22)) % 63.24/63.41 (define @t118 () (= @t24 @t113)) % 63.24/63.41 (define @t119 () (= tptp.mono_2Ec_2Ebool_2ET_2E0 @t22)) % 63.24/63.41 (define @t120 () (and (= @t119 @t113) @t118 (= @t117 @t115) @t116)) % 63.24/63.41 (define @t121 () (forall @t26 @t120)) % 63.24/63.41 (define @t122 () (@var "V25x_2E0" tptp.u)) % 63.24/63.41 (define @t123 () (tptp.s @t77 @t122)) % 63.24/63.41 (define @t124 () (tptp.s @t77 (tptp.c_2Eoption_2EOPTION__JOIN_2E1 (tptp.s @t80 (tptp.c_2Eoption_2ESOME_2E1 @t123))))) % 63.24/63.41 (define @t125 () (@list @t122)) % 63.24/63.41 (define @t126 () (forall @t125 (= @t124 @t123))) % 63.24/63.41 (define @t127 () (tptp.s @t77 tptp.c_2Eoption_2ENONE_2E0)) % 63.24/63.41 (define @t128 () (tptp.s @t77 (tptp.c_2Eoption_2EOPTION__JOIN_2E1 (tptp.s @t80 tptp.c_2Eoption_2ENONE_2E0)))) % 63.24/63.41 (define @t129 () (tptp.s @t84 tptp.c_2Eoption_2ENONE_2E0)) % 63.24/63.41 (define @t130 () (@var "V24f_2E0" tptp.u)) % 63.24/63.41 (define @t131 () (@list @t130)) % 63.24/63.41 (define @t132 () (forall @t131 (= (tptp.s @t84 (tptp.c_2Eoption_2EOPTION__MAP_2E2 (tptp.s @t4 @t130) @t127)) @t129))) % 63.24/63.41 (define @t133 () (@var "V23x_2E0" tptp.u)) % 63.24/63.41 (define @t134 () (tptp.s @t3 @t133)) % 63.24/63.41 (define @t135 () (@var "V22f_2E0" tptp.u)) % 63.24/63.41 (define @t136 () (tptp.s @t4 @t135)) % 63.24/63.41 (define @t137 () (@list @t135 @t133)) % 63.24/63.41 (define @t138 () (forall @t137 (= (tptp.s @t84 (tptp.c_2Eoption_2EOPTION__MAP_2E2 @t136 (tptp.s @t77 (tptp.c_2Eoption_2ESOME_2E1 @t134)))) (tptp.s @t84 (tptp.c_2Eoption_2ESOME_2E1 (tptp.s @t2 (tptp.app_2E2 @t136 @t134))))))) % 63.24/63.41 (define @t139 () (@var "V19x_2E0" tptp.u)) % 63.24/63.41 (define @t140 () (tptp.s @t3 @t139)) % 63.24/63.41 (define @t141 () (@var "V21f_2E0" tptp.u)) % 63.24/63.41 (define @t142 () (tptp.s @t4 @t141)) % 63.24/63.41 (define @t143 () (@var "V20v_2E0" tptp.u)) % 63.24/63.41 (define @t144 () (@list @t139 @t143 @t141)) % 63.24/63.41 (define @t145 () (forall @t144 (= (tptp.s @t2 (tptp.c_2Eoption_2Eoption__CASE_2E3 (tptp.s @t77 (tptp.c_2Eoption_2ESOME_2E1 @t140)) (tptp.s @t2 @t143) @t142)) (tptp.s @t2 (tptp.app_2E2 @t142 @t140))))) % 63.24/63.41 (define @t146 () (@var "V17v_2E0" tptp.u)) % 63.24/63.41 (define @t147 () (tptp.s @t2 @t146)) % 63.24/63.41 (define @t148 () (@var "V18f_2E0" tptp.u)) % 63.24/63.41 (define @t149 () (tptp.s @t2 (tptp.c_2Eoption_2Eoption__CASE_2E3 @t127 @t147 (tptp.s @t4 @t148)))) % 63.24/63.41 (define @t150 () (@list @t146 @t148)) % 63.24/63.41 (define @t151 () (forall @t150 (= @t149 @t147))) % 63.24/63.41 (define @t152 () (@var "V16x_2E0" tptp.u)) % 63.24/63.41 (define @t153 () (tptp.s @t77 @t152)) % 63.24/63.41 (define @t154 () (@var "V1e_2E0" tptp.u)) % 63.24/63.41 (define @t155 () (tptp.s @t77 (tptp.c_2Eoption_2Eoption__CASE_2E3 @t153 (tptp.s @t77 @t154) @t99))) % 63.24/63.41 (define @t156 () (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__SOME_2E1 @t153))))) % 63.24/63.41 (define @t157 () (=> @t156 (= @t155 @t153))) % 63.24/63.41 (define @t158 () (@list @t152)) % 63.24/63.41 (define @t159 () (forall @t158 @t157)) % 63.24/63.41 (define @t160 () (@var "V15x_2E0" tptp.u)) % 63.24/63.41 (define @t161 () (tptp.s @t77 @t160)) % 63.24/63.41 (define @t162 () (@var "V2e_2E0" tptp.u)) % 63.24/63.41 (define @t163 () (tptp.s @t2 @t162)) % 63.24/63.41 (define @t164 () (= (tptp.s @t2 (tptp.c_2Eoption_2Eoption__CASE_2E3 @t161 @t163 @t7)) (tptp.s @t2 (tptp.app_2E2 @t7 (tptp.s @t3 (tptp.c_2Eoption_2ETHE_2E1 @t161)))))) % 63.24/63.41 (define @t165 () (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__SOME_2E1 @t161))))) % 63.24/63.41 (define @t166 () (@list @t160)) % 63.24/63.41 (define @t167 () (forall @t166 (=> @t165 @t164))) % 63.24/63.41 (define @t168 () (@var "V14x_2E0" tptp.u)) % 63.24/63.41 (define @t169 () (tptp.s @t77 @t168)) % 63.24/63.41 (define @t170 () (tptp.s @t2 (tptp.c_2Eoption_2Eoption__CASE_2E3 @t169 @t163 @t7))) % 63.24/63.41 (define @t171 () (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__NONE_2E1 @t169))))) % 63.24/63.41 (define @t172 () (=> @t171 (= @t170 @t163))) % 63.24/63.41 (define @t173 () (@list @t168)) % 63.24/63.41 (define @t174 () (forall @t173 @t172)) % 63.24/63.41 (define @t175 () (@var "V13x_2E0" tptp.u)) % 63.24/63.41 (define @t176 () (tptp.s @t77 @t175)) % 63.24/63.41 (define @t177 () (tptp.s @t77 (tptp.c_2Eoption_2Eoption__CASE_2E3 @t176 @t176 @t99))) % 63.24/63.41 (define @t178 () (@list @t175)) % 63.24/63.41 (define @t179 () (forall @t178 (= @t177 @t176))) % 63.24/63.41 (define @t180 () (@var "V12x_2E0" tptp.u)) % 63.24/63.41 (define @t181 () (tptp.s @t77 @t180)) % 63.24/63.41 (define @t182 () (tptp.s @t77 (tptp.c_2Eoption_2Eoption__CASE_2E3 @t181 @t127 @t99))) % 63.24/63.41 (define @t183 () (@list @t180)) % 63.24/63.41 (define @t184 () (forall @t183 (= @t182 @t181))) % 63.24/63.41 (define @t185 () (@var "V11x_2E0" tptp.u)) % 63.24/63.41 (define @t186 () (tptp.s @t77 @t185)) % 63.24/63.41 (define @t187 () (tptp.s @t77 (tptp.c_2Eoption_2ESOME_2E1 (tptp.s @t3 (tptp.c_2Eoption_2ETHE_2E1 @t186))))) % 63.24/63.41 (define @t188 () (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__SOME_2E1 @t186))))) % 63.24/63.41 (define @t189 () (=> @t188 (= @t187 @t186))) % 63.24/63.41 (define @t190 () (@list @t185)) % 63.24/63.41 (define @t191 () (forall @t190 @t189)) % 63.24/63.41 (define @t192 () (@var "V10x_2E0" tptp.u)) % 63.24/63.41 (define @t193 () (tptp.s @t77 @t192)) % 63.24/63.41 (define @t194 () (not (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__SOME_2E1 @t193)))))) % 63.24/63.41 (define @t195 () (= @t194 (= @t193 @t127))) % 63.24/63.41 (define @t196 () (@list @t192)) % 63.24/63.41 (define @t197 () (forall @t196 @t195)) % 63.24/63.41 (define @t198 () (@var "V9x_2E0" tptp.u)) % 63.24/63.41 (define @t199 () (tptp.s @t77 @t198)) % 63.24/63.41 (define @t200 () (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__NONE_2E1 @t199))))) % 63.24/63.41 (define @t201 () (= @t200 (= @t199 @t127))) % 63.24/63.41 (define @t202 () (@list @t198)) % 63.24/63.41 (define @t203 () (forall @t202 @t201)) % 63.24/63.41 (define @t204 () (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__SOME_2E1 @t127)))) % 63.24/63.41 (define @t205 () (@var "V8x_2E0" tptp.u)) % 63.24/63.41 (define @t206 () (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__SOME_2E1 (tptp.s @t77 (tptp.c_2Eoption_2ESOME_2E1 (tptp.s @t3 @t205))))))) % 63.24/63.41 (define @t207 () (@list @t205)) % 63.24/63.41 (define @t208 () (forall @t207 (= @t206 tptp.mono_2Ec_2Ebool_2ET_2E0))) % 63.24/63.41 (define @t209 () (@var "V7x_2E0" tptp.u)) % 63.24/63.41 (define @t210 () (tptp.s @t77 (tptp.c_2Eoption_2ESOME_2E1 (tptp.s @t3 @t209)))) % 63.24/63.41 (define @t211 () (not (= @t210 @t127))) % 63.24/63.41 (define @t212 () (@list @t209)) % 63.24/63.41 (define @t213 () (forall @t212 @t211)) % 63.24/63.41 (define @t214 () (@var "V6x_2E0" tptp.u)) % 63.24/63.41 (define @t215 () (@list @t214)) % 63.24/63.41 (define @t216 () (forall @t215 (not (= @t127 (tptp.s @t77 (tptp.c_2Eoption_2ESOME_2E1 (tptp.s @t3 @t214))))))) % 63.24/63.41 (define @t217 () (@var "V5x_2E0" tptp.u)) % 63.24/63.41 (define @t218 () (tptp.s @t3 @t217)) % 63.24/63.41 (define @t219 () (tptp.s @t3 (tptp.c_2Eoption_2ETHE_2E1 (tptp.s @t77 (tptp.c_2Eoption_2ESOME_2E1 @t218))))) % 63.24/63.41 (define @t220 () (@list @t217)) % 63.24/63.41 (define @t221 () (forall @t220 (= @t219 @t218))) % 63.24/63.41 (define @t222 () (@var "V4y_2E0" tptp.u)) % 63.24/63.41 (define @t223 () (tptp.s @t3 @t222)) % 63.24/63.41 (define @t224 () (@var "V3x_2E0" tptp.u)) % 63.24/63.41 (define @t225 () (tptp.s @t3 @t224)) % 63.24/63.41 (define @t226 () (= (tptp.s @t77 (tptp.c_2Eoption_2ESOME_2E1 @t225)) (tptp.s @t77 (tptp.c_2Eoption_2ESOME_2E1 @t223)))) % 63.24/63.41 (define @t227 () (= @t226 (= @t225 @t223))) % 63.24/63.41 (define @t228 () (@list @t224 @t222)) % 63.24/63.41 (define @t229 () (forall @t228 @t227)) % 63.24/63.41 (define @t230 () (and @t229 @t221 @t216 @t213 @t208 (= @t204 tptp.mono_2Ec_2Ebool_2EF_2E0) @t203 @t197 @t191 @t184 @t179 @t174 @t167 @t159 @t151 @t145 @t138 @t132 (= @t128 @t127) @t126)) % 63.24/63.41 (define @t231 () (@list @t3 @t2 @t6 @t154 @t162)) % 63.24/63.41 (define @t232 () (forall @t231 @t230)) % 63.24/63.41 (define @t233 () (@var "V4y0_2E0" tptp.u)) % 63.24/63.41 (define @t234 () (tptp.s @t2 @t233)) % 63.24/63.41 (define @t235 () (@var "V3x0_2E0" tptp.u)) % 63.24/63.41 (define @t236 () (tptp.s @t3 @t235)) % 63.24/63.41 (define @t237 () (@var "V0R_2E0" tptp.u)) % 63.24/63.41 (define @t238 () (tptp.s @t93 @t237)) % 63.24/63.41 (define @t239 () (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t92 (tptp.app_2E2 @t238 @t236)) @t234))))) % 63.24/63.41 (define @t240 () (@var "V2y_2E0" tptp.u)) % 63.24/63.41 (define @t241 () (tptp.s @t84 @t240)) % 63.24/63.41 (define @t242 () (= @t241 (tptp.s @t84 (tptp.c_2Eoption_2ESOME_2E1 @t234)))) % 63.24/63.41 (define @t243 () (tptp.s @t77 @t45)) % 63.24/63.41 (define @t244 () (= @t243 (tptp.s @t77 (tptp.c_2Eoption_2ESOME_2E1 @t236)))) % 63.24/63.41 (define @t245 () (and @t244 @t242 @t239)) % 63.24/63.41 (define @t246 () (@list @t235 @t233)) % 63.24/63.41 (define @t247 () (exists @t246 @t245)) % 63.24/63.41 (define @t248 () (and (= @t243 @t127) (= @t241 @t129))) % 63.24/63.41 (define @t249 () (or @t248 @t247)) % 63.24/63.41 (define @t250 () (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EOPTREL_2E3 @t238 @t243 @t241))))) % 63.24/63.41 (define @t251 () (= @t250 @t249)) % 63.24/63.41 (define @t252 () (@list @t3 @t2 @t237 @t45 @t240)) % 63.24/63.41 (define @t253 () (forall @t252 @t251)) % 63.24/63.41 (define @t254 () (@var "V0y_2E0" tptp.u)) % 63.24/63.41 (define @t255 () (tptp.s @t3 @t254)) % 63.24/63.41 (define @t256 () (@var "V2R_2E0" tptp.u)) % 63.24/63.41 (define @t257 () (tptp.s @t76 @t256)) % 63.24/63.41 (define @t258 () (tptp.s @t77 (tptp.c_2Eoption_2ESOME_2E1 @t255))) % 63.24/63.41 (define @t259 () (tptp.s @t77 (tptp.c_2Eoption_2ESOME_2E1 @t46))) % 63.24/63.41 (define @t260 () (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EOPTREL_2E3 @t257 @t259 @t258))) (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t47 (tptp.app_2E2 @t257 @t46)) @t255))))) % 63.24/63.41 (define @t261 () (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EOPTREL_2E3 @t257 @t127 @t258)))) % 63.24/63.41 (define @t262 () (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EOPTREL_2E3 @t257 @t259 @t127)))) % 63.24/63.41 (define @t263 () (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EOPTREL_2E3 @t257 @t127 @t127)))) % 63.24/63.41 (define @t264 () (and (= @t263 tptp.mono_2Ec_2Ebool_2ET_2E0) (= @t262 tptp.mono_2Ec_2Ebool_2EF_2E0) (= @t261 tptp.mono_2Ec_2Ebool_2EF_2E0) @t260)) % 63.24/63.41 (define @t265 () (@list @t3 @t254 @t45 @t256)) % 63.24/63.41 (define @t266 () (forall @t265 @t264)) % 63.24/63.41 (define @t267 () (not @t266)) % 63.24/63.41 (define @t268 () (@var "BOUND_VARIABLE_9061" tptp.d)) % 63.24/63.41 (define @t269 () (tptp.s (tptp.tyop_2Eoption_2Eoption @t268) tptp.c_2Eoption_2ENONE_2E0)) % 63.24/63.41 (define @t270 () (@var "BOUND_VARIABLE_9067" tptp.u)) % 63.24/63.41 (define @t271 () (= tptp.mono_2Ec_2Ebool_2ET_2E0 (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EOPTREL_2E3 (tptp.s (tptp.tyop_2Emin_2Efun @t268 (tptp.tyop_2Emin_2Efun @t268 tptp.tyop_2Emin_2Ebool)) @t270) @t269 @t269))))) % 63.24/63.41 (define @t272 () (forall (@list @t268 @t270) @t271)) % 63.24/63.41 (define @t273 () (@quantifiers_skolemize @t272 0)) % 63.24/63.41 (define @t274 () (tptp.tyop_2Eoption_2Eoption @t273)) % 63.24/63.41 (define @t275 () (tptp.s @t274 tptp.c_2Eoption_2ENONE_2E0)) % 63.24/63.41 (define @t276 () (@quantifiers_skolemize @t272 1)) % 63.24/63.41 (define @t277 () (tptp.tyop_2Emin_2Efun @t273 tptp.tyop_2Emin_2Ebool)) % 63.24/63.41 (define @t278 () (tptp.s (tptp.tyop_2Emin_2Efun @t273 @t277) @t276)) % 63.24/63.41 (define @t279 () (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EOPTREL_2E3 @t278 @t275 @t275)))) % 63.24/63.41 (define @t280 () (not @t239)) % 63.24/63.41 (define @t281 () (not @t242)) % 63.24/63.41 (define @t282 () (not @t244)) % 63.24/63.41 (define @t283 () (or @t282 @t281 @t280)) % 63.24/63.41 (define @t284 () (forall @t246 (not @t245))) % 63.24/63.41 (define @t285 () (not @t284)) % 63.24/63.41 (define @t286 () (tptp.p @t279)) % 63.24/63.41 (define @t287 () (tptp.s @t273 @t233)) % 63.24/63.41 (define @t288 () (tptp.s @t273 @t235)) % 63.24/63.41 (define @t289 () (not (forall @t246 (or (not (= @t275 (tptp.s @t274 (tptp.c_2Eoption_2ESOME_2E1 @t288)))) (not (= @t275 (tptp.s @t274 (tptp.c_2Eoption_2ESOME_2E1 @t287)))) (not (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t277 (tptp.app_2E2 @t278 @t288)) @t287))))))))) % 63.24/63.41 (define @t290 () (= @t275 @t275)) % 63.24/63.41 (define @t291 () (and @t290 @t290)) % 63.24/63.41 (define @t292 () (or @t291 @t289)) % 63.24/63.41 (define @t293 () (= @t286 @t292)) % 63.24/63.41 (define @t294 () (forall @t252 (= @t250 (or (and (= @t127 @t243) (= @t129 @t241)) (not (forall @t246 @t283)))))) % 63.24/63.41 (define @t295 () (@list false)) % 63.24/63.41 (define @t296 () (@list @t294)) % 63.24/63.41 (define @t297 () (not @t286)) % 63.24/63.41 (define @t298 () (= tptp.mono_2Ec_2Ebool_2EF_2E0 @t279)) % 63.24/63.41 (define @t299 () (not @t298)) % 63.24/63.41 (define @t300 () (not @t21)) % 63.24/63.41 (define @t301 () (@list true false)) % 63.24/63.41 (define @t302 () (= tptp.mono_2Ec_2Ebool_2ET_2E0 @t279)) % 63.24/63.41 (define @t303 () (or @t302 @t298)) % 63.24/63.41 (define @t304 () (@var "BOUND_VARIABLE_9080" tptp.d)) % 63.24/63.41 (define @t305 () (tptp.tyop_2Eoption_2Eoption @t304)) % 63.24/63.41 (define @t306 () (@var "BOUND_VARIABLE_9084" tptp.u)) % 63.24/63.41 (define @t307 () (@var "BOUND_VARIABLE_9086" tptp.u)) % 63.24/63.41 (define @t308 () (= tptp.mono_2Ec_2Ebool_2EF_2E0 (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EOPTREL_2E3 (tptp.s (tptp.tyop_2Emin_2Efun @t304 (tptp.tyop_2Emin_2Efun @t304 tptp.tyop_2Emin_2Ebool)) @t307) (tptp.s @t305 (tptp.c_2Eoption_2ESOME_2E1 (tptp.s @t304 @t306))) (tptp.s @t305 tptp.c_2Eoption_2ENONE_2E0)))))) % 63.24/63.41 (define @t309 () (forall (@list @t304 @t306 @t307) @t308)) % 63.24/63.41 (define @t310 () (@quantifiers_skolemize @t309 0)) % 63.24/63.41 (define @t311 () (tptp.tyop_2Eoption_2Eoption @t310)) % 63.24/63.41 (define @t312 () (tptp.s @t311 tptp.c_2Eoption_2ENONE_2E0)) % 63.24/63.41 (define @t313 () (@quantifiers_skolemize @t309 1)) % 63.24/63.41 (define @t314 () (tptp.c_2Eoption_2ESOME_2E1 (tptp.s @t310 @t313))) % 63.24/63.41 (define @t315 () (tptp.s @t311 @t314)) % 63.24/63.41 (define @t316 () (@quantifiers_skolemize @t309 2)) % 63.24/63.41 (define @t317 () (tptp.tyop_2Emin_2Efun @t310 tptp.tyop_2Emin_2Ebool)) % 63.24/63.41 (define @t318 () (tptp.s (tptp.tyop_2Emin_2Efun @t310 @t317) @t316)) % 63.24/63.41 (define @t319 () (tptp.c_2Eoption_2EOPTREL_2E3 @t318 @t315 @t312)) % 63.24/63.41 (define @t320 () (tptp.s @t310 @t233)) % 63.24/63.41 (define @t321 () (tptp.s @t310 @t235)) % 63.24/63.41 (define @t322 () (forall @t246 (or (not (= @t315 (tptp.s @t311 (tptp.c_2Eoption_2ESOME_2E1 @t321)))) (not (= @t312 (tptp.s @t311 (tptp.c_2Eoption_2ESOME_2E1 @t320)))) (not (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t317 (tptp.app_2E2 @t318 @t321)) @t320)))))))) % 63.24/63.41 (define @t323 () (not @t322)) % 63.24/63.41 (define @t324 () (= @t315 @t312)) % 63.24/63.41 (define @t325 () (= @t312 @t315)) % 63.24/63.41 (define @t326 () (and @t325 (= @t312 @t312))) % 63.24/63.41 (define @t327 () (or @t326 @t323)) % 63.24/63.41 (define @t328 () (tptp.s tptp.tyop_2Emin_2Ebool @t319)) % 63.24/63.41 (define @t329 () (tptp.j_mono_2Etyop_2Emin_2Ebool @t328)) % 63.24/63.41 (define @t330 () (tptp.p @t329)) % 63.24/63.41 (define @t331 () (= @t330 @t327)) % 63.24/63.41 (define @t332 () (or @t324 @t323)) % 63.24/63.41 (define @t333 () (= @t330 @t332)) % 63.24/63.41 (define @t334 () (@var "BOUND_VARIABLE_8931" tptp.d)) % 63.24/63.41 (define @t335 () (tptp.tyop_2Eoption_2Eoption @t334)) % 63.24/63.41 (define @t336 () (tptp.s @t335 @t122)) % 63.24/63.41 (define @t337 () (= @t336 (tptp.s @t335 (tptp.c_2Eoption_2EOPTION__JOIN_2E1 (tptp.s (tptp.tyop_2Eoption_2Eoption @t335) (tptp.c_2Eoption_2ESOME_2E1 @t336)))))) % 63.24/63.41 (define @t338 () (@var "BOUND_VARIABLE_8939" tptp.u)) % 63.24/63.41 (define @t339 () (@var "BOUND_VARIABLE_8937" tptp.u)) % 63.24/63.41 (define @t340 () (@var "BOUND_VARIABLE_8935" tptp.u)) % 63.24/63.41 (define @t341 () (@var "BOUND_VARIABLE_8933" tptp.d)) % 63.24/63.41 (define @t342 () (forall (@list @t334 @t341 @t340 @t339 @t338 @t122) @t337)) % 63.24/63.41 (define @t343 () (forall (@list @t334 @t341 @t340 @t339 @t338) (forall @t125 @t337))) % 63.24/63.41 (define @t344 () (@var "BOUND_VARIABLE_8911" tptp.d)) % 63.24/63.41 (define @t345 () (tptp.tyop_2Eoption_2Eoption @t344)) % 63.24/63.41 (define @t346 () (= (tptp.s @t345 tptp.c_2Eoption_2ENONE_2E0) (tptp.s @t345 (tptp.c_2Eoption_2EOPTION__JOIN_2E1 (tptp.s (tptp.tyop_2Eoption_2Eoption @t345) tptp.c_2Eoption_2ENONE_2E0))))) % 63.24/63.41 (define @t347 () (@var "BOUND_VARIABLE_8919" tptp.u)) % 63.24/63.41 (define @t348 () (@var "BOUND_VARIABLE_8917" tptp.u)) % 63.24/63.41 (define @t349 () (@var "BOUND_VARIABLE_8915" tptp.u)) % 63.24/63.41 (define @t350 () (@var "BOUND_VARIABLE_8913" tptp.d)) % 63.24/63.41 (define @t351 () (forall (@list @t344 @t350 @t349 @t348 @t347) @t346)) % 63.24/63.41 (define @t352 () (@var "BOUND_VARIABLE_8890" tptp.d)) % 63.24/63.41 (define @t353 () (tptp.tyop_2Eoption_2Eoption @t352)) % 63.24/63.41 (define @t354 () (@var "BOUND_VARIABLE_8888" tptp.d)) % 63.24/63.41 (define @t355 () (= (tptp.s @t353 (tptp.c_2Eoption_2EOPTION__MAP_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t354 @t352) @t130) (tptp.s (tptp.tyop_2Eoption_2Eoption @t354) tptp.c_2Eoption_2ENONE_2E0))) (tptp.s @t353 tptp.c_2Eoption_2ENONE_2E0))) % 63.24/63.41 (define @t356 () (@var "BOUND_VARIABLE_8896" tptp.u)) % 63.24/63.41 (define @t357 () (@var "BOUND_VARIABLE_8894" tptp.u)) % 63.24/63.41 (define @t358 () (@var "BOUND_VARIABLE_8892" tptp.u)) % 63.24/63.41 (define @t359 () (forall (@list @t354 @t352 @t358 @t357 @t356 @t130) @t355)) % 63.24/63.41 (define @t360 () (forall (@list @t354 @t352 @t358 @t357 @t356) (forall @t131 @t355))) % 63.24/63.41 (define @t361 () (@var "BOUND_VARIABLE_8860" tptp.d)) % 63.24/63.41 (define @t362 () (tptp.s @t361 @t133)) % 63.24/63.41 (define @t363 () (@var "BOUND_VARIABLE_8862" tptp.d)) % 63.24/63.41 (define @t364 () (tptp.s (tptp.tyop_2Emin_2Efun @t361 @t363) @t135)) % 63.24/63.41 (define @t365 () (tptp.tyop_2Eoption_2Eoption @t363)) % 63.24/63.41 (define @t366 () (= (tptp.s @t365 (tptp.c_2Eoption_2EOPTION__MAP_2E2 @t364 (tptp.s (tptp.tyop_2Eoption_2Eoption @t361) (tptp.c_2Eoption_2ESOME_2E1 @t362)))) (tptp.s @t365 (tptp.c_2Eoption_2ESOME_2E1 (tptp.s @t363 (tptp.app_2E2 @t364 @t362)))))) % 63.24/63.41 (define @t367 () (@var "BOUND_VARIABLE_8868" tptp.u)) % 63.24/63.41 (define @t368 () (@var "BOUND_VARIABLE_8866" tptp.u)) % 63.24/63.41 (define @t369 () (@var "BOUND_VARIABLE_8864" tptp.u)) % 63.24/63.41 (define @t370 () (forall (@list @t361 @t363 @t369 @t368 @t367 @t135 @t133) @t366)) % 63.24/63.41 (define @t371 () (forall (@list @t361 @t363 @t369 @t368 @t367) (forall @t137 @t366))) % 63.24/63.41 (define @t372 () (@var "BOUND_VARIABLE_8834" tptp.d)) % 63.24/63.41 (define @t373 () (tptp.s @t372 @t139)) % 63.24/63.41 (define @t374 () (@var "BOUND_VARIABLE_8836" tptp.d)) % 63.24/63.41 (define @t375 () (tptp.s (tptp.tyop_2Emin_2Efun @t372 @t374) @t141)) % 63.24/63.41 (define @t376 () (= (tptp.s @t374 (tptp.c_2Eoption_2Eoption__CASE_2E3 (tptp.s (tptp.tyop_2Eoption_2Eoption @t372) (tptp.c_2Eoption_2ESOME_2E1 @t373)) (tptp.s @t374 @t143) @t375)) (tptp.s @t374 (tptp.app_2E2 @t375 @t373)))) % 63.24/63.41 (define @t377 () (@var "BOUND_VARIABLE_8842" tptp.u)) % 63.24/63.41 (define @t378 () (@var "BOUND_VARIABLE_8840" tptp.u)) % 63.24/63.41 (define @t379 () (@var "BOUND_VARIABLE_8838" tptp.u)) % 63.24/63.41 (define @t380 () (forall (@list @t372 @t374 @t379 @t378 @t377 @t139 @t143 @t141) @t376)) % 63.24/63.41 (define @t381 () (forall (@list @t372 @t374 @t379 @t378 @t377) (forall @t144 @t376))) % 63.24/63.41 (define @t382 () (@var "BOUND_VARIABLE_8814" tptp.d)) % 63.24/63.41 (define @t383 () (@var "BOUND_VARIABLE_8812" tptp.d)) % 63.24/63.41 (define @t384 () (tptp.s @t382 @t146)) % 63.24/63.41 (define @t385 () (= @t384 (tptp.s @t382 (tptp.c_2Eoption_2Eoption__CASE_2E3 (tptp.s (tptp.tyop_2Eoption_2Eoption @t383) tptp.c_2Eoption_2ENONE_2E0) @t384 (tptp.s (tptp.tyop_2Emin_2Efun @t383 @t382) @t148))))) % 63.24/63.41 (define @t386 () (@var "BOUND_VARIABLE_8820" tptp.u)) % 63.24/63.41 (define @t387 () (@var "BOUND_VARIABLE_8818" tptp.u)) % 63.24/63.41 (define @t388 () (@var "BOUND_VARIABLE_8816" tptp.u)) % 63.24/63.41 (define @t389 () (forall (@list @t383 @t382 @t388 @t387 @t386 @t146 @t148) @t385)) % 63.24/63.41 (define @t390 () (forall (@list @t383 @t382 @t388 @t387 @t386) (forall @t150 @t385))) % 63.24/63.41 (define @t391 () (@var "BOUND_VARIABLE_8784" tptp.d)) % 63.24/63.41 (define @t392 () (tptp.tyop_2Eoption_2Eoption @t391)) % 63.24/63.41 (define @t393 () (@var "BOUND_VARIABLE_8790" tptp.u)) % 63.24/63.41 (define @t394 () (tptp.s @t392 @t152)) % 63.24/63.41 (define @t395 () (or (not (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__SOME_2E1 @t394))))) (= @t394 (tptp.s @t392 (tptp.c_2Eoption_2Eoption__CASE_2E3 @t394 (tptp.s @t392 @t393) (tptp.s (tptp.tyop_2Emin_2Efun @t391 @t392) tptp.c_2Eoption_2ESOME_2E0)))))) % 63.24/63.41 (define @t396 () (@var "BOUND_VARIABLE_8792" tptp.u)) % 63.24/63.41 (define @t397 () (@var "BOUND_VARIABLE_8788" tptp.u)) % 63.24/63.41 (define @t398 () (@var "BOUND_VARIABLE_8786" tptp.d)) % 63.24/63.41 (define @t399 () (forall (@list @t391 @t398 @t397 @t393 @t396 @t152) @t395)) % 63.24/63.41 (define @t400 () (forall (@list @t391 @t398 @t397 @t393 @t396) (forall @t158 @t395))) % 63.24/63.41 (define @t401 () (@var "BOUND_VARIABLE_8752" tptp.d)) % 63.24/63.41 (define @t402 () (tptp.s (tptp.tyop_2Eoption_2Eoption @t401) @t160)) % 63.24/63.41 (define @t403 () (@var "BOUND_VARIABLE_8756" tptp.u)) % 63.24/63.41 (define @t404 () (@var "BOUND_VARIABLE_8754" tptp.d)) % 63.24/63.41 (define @t405 () (tptp.s (tptp.tyop_2Emin_2Efun @t401 @t404) @t403)) % 63.24/63.41 (define @t406 () (@var "BOUND_VARIABLE_8760" tptp.u)) % 63.24/63.41 (define @t407 () (or (not (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__SOME_2E1 @t402))))) (= (tptp.s @t404 (tptp.c_2Eoption_2Eoption__CASE_2E3 @t402 (tptp.s @t404 @t406) @t405)) (tptp.s @t404 (tptp.app_2E2 @t405 (tptp.s @t401 (tptp.c_2Eoption_2ETHE_2E1 @t402))))))) % 63.24/63.41 (define @t408 () (@var "BOUND_VARIABLE_8758" tptp.u)) % 63.24/63.41 (define @t409 () (forall (@list @t401 @t404 @t403 @t408 @t406 @t160) @t407)) % 63.24/63.41 (define @t410 () (forall (@list @t401 @t404 @t403 @t408 @t406) (forall @t166 @t407))) % 63.24/63.41 (define @t411 () (@var "BOUND_VARIABLE_8728" tptp.u)) % 63.24/63.41 (define @t412 () (@var "BOUND_VARIABLE_8726" tptp.d)) % 63.24/63.41 (define @t413 () (@var "BOUND_VARIABLE_8724" tptp.d)) % 63.24/63.41 (define @t414 () (@var "BOUND_VARIABLE_8732" tptp.u)) % 63.24/63.41 (define @t415 () (tptp.s @t412 @t414)) % 63.24/63.41 (define @t416 () (tptp.s (tptp.tyop_2Eoption_2Eoption @t413) @t168)) % 63.24/63.41 (define @t417 () (or (not (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__NONE_2E1 @t416))))) (= @t415 (tptp.s @t412 (tptp.c_2Eoption_2Eoption__CASE_2E3 @t416 @t415 (tptp.s (tptp.tyop_2Emin_2Efun @t413 @t412) @t411)))))) % 63.24/63.41 (define @t418 () (@var "BOUND_VARIABLE_8730" tptp.u)) % 63.24/63.41 (define @t419 () (forall (@list @t413 @t412 @t411 @t418 @t414 @t168) @t417)) % 63.24/63.41 (define @t420 () (forall (@list @t413 @t412 @t411 @t418 @t414) (forall @t173 @t417))) % 63.24/63.41 (define @t421 () (@var "BOUND_VARIABLE_8704" tptp.d)) % 63.24/63.41 (define @t422 () (tptp.tyop_2Eoption_2Eoption @t421)) % 63.24/63.41 (define @t423 () (tptp.s @t422 @t175)) % 63.24/63.41 (define @t424 () (= @t423 (tptp.s @t422 (tptp.c_2Eoption_2Eoption__CASE_2E3 @t423 @t423 (tptp.s (tptp.tyop_2Emin_2Efun @t421 @t422) tptp.c_2Eoption_2ESOME_2E0))))) % 63.24/63.41 (define @t425 () (@var "BOUND_VARIABLE_8712" tptp.u)) % 63.24/63.41 (define @t426 () (@var "BOUND_VARIABLE_8710" tptp.u)) % 63.24/63.41 (define @t427 () (@var "BOUND_VARIABLE_8708" tptp.u)) % 63.24/63.41 (define @t428 () (@var "BOUND_VARIABLE_8706" tptp.d)) % 63.24/63.41 (define @t429 () (forall (@list @t421 @t428 @t427 @t426 @t425 @t175) @t424)) % 63.24/63.41 (define @t430 () (forall (@list @t421 @t428 @t427 @t426 @t425) (forall @t178 @t424))) % 63.24/63.41 (define @t431 () (@var "BOUND_VARIABLE_8682" tptp.d)) % 63.24/63.41 (define @t432 () (tptp.tyop_2Eoption_2Eoption @t431)) % 63.24/63.41 (define @t433 () (tptp.s @t432 @t180)) % 63.24/63.41 (define @t434 () (= @t433 (tptp.s @t432 (tptp.c_2Eoption_2Eoption__CASE_2E3 @t433 (tptp.s @t432 tptp.c_2Eoption_2ENONE_2E0) (tptp.s (tptp.tyop_2Emin_2Efun @t431 @t432) tptp.c_2Eoption_2ESOME_2E0))))) % 63.24/63.41 (define @t435 () (@var "BOUND_VARIABLE_8690" tptp.u)) % 63.24/63.41 (define @t436 () (@var "BOUND_VARIABLE_8688" tptp.u)) % 63.24/63.41 (define @t437 () (@var "BOUND_VARIABLE_8686" tptp.u)) % 63.24/63.41 (define @t438 () (@var "BOUND_VARIABLE_8684" tptp.d)) % 63.24/63.41 (define @t439 () (forall (@list @t431 @t438 @t437 @t436 @t435 @t180) @t434)) % 63.24/63.41 (define @t440 () (forall (@list @t431 @t438 @t437 @t436 @t435) (forall @t183 @t434))) % 63.24/63.41 (define @t441 () (@var "BOUND_VARIABLE_8655" tptp.d)) % 63.24/63.41 (define @t442 () (tptp.tyop_2Eoption_2Eoption @t441)) % 63.24/63.41 (define @t443 () (tptp.s @t442 @t185)) % 63.24/63.41 (define @t444 () (or (not (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__SOME_2E1 @t443))))) (= @t443 (tptp.s @t442 (tptp.c_2Eoption_2ESOME_2E1 (tptp.s @t441 (tptp.c_2Eoption_2ETHE_2E1 @t443))))))) % 63.24/63.41 (define @t445 () (@var "BOUND_VARIABLE_8663" tptp.u)) % 63.24/63.41 (define @t446 () (@var "BOUND_VARIABLE_8661" tptp.u)) % 63.24/63.41 (define @t447 () (@var "BOUND_VARIABLE_8659" tptp.u)) % 63.24/63.41 (define @t448 () (@var "BOUND_VARIABLE_8657" tptp.d)) % 63.24/63.41 (define @t449 () (forall (@list @t441 @t448 @t447 @t446 @t445 @t185) @t444)) % 63.24/63.41 (define @t450 () (forall (@list @t441 @t448 @t447 @t446 @t445) (forall @t190 @t444))) % 63.24/63.41 (define @t451 () (@var "BOUND_VARIABLE_8632" tptp.d)) % 63.24/63.41 (define @t452 () (tptp.tyop_2Eoption_2Eoption @t451)) % 63.24/63.41 (define @t453 () (tptp.s @t452 tptp.c_2Eoption_2ENONE_2E0)) % 63.24/63.41 (define @t454 () (tptp.s @t452 @t192)) % 63.24/63.41 (define @t455 () (not (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__SOME_2E1 @t454)))))) % 63.24/63.41 (define @t456 () (= @t455 (= @t454 @t453))) % 63.24/63.41 (define @t457 () (@var "BOUND_VARIABLE_8640" tptp.u)) % 63.24/63.41 (define @t458 () (@var "BOUND_VARIABLE_8638" tptp.u)) % 63.24/63.41 (define @t459 () (@var "BOUND_VARIABLE_8636" tptp.u)) % 63.24/63.41 (define @t460 () (@var "BOUND_VARIABLE_8634" tptp.d)) % 63.24/63.41 (define @t461 () (@list @t451 @t460 @t459 @t458 @t457 @t192)) % 63.24/63.41 (define @t462 () (= @t455 (= @t453 @t454))) % 63.24/63.41 (define @t463 () (forall @t461 @t462)) % 63.24/63.41 (define @t464 () (forall (@list @t451 @t460 @t459 @t458 @t457) (forall @t196 @t462))) % 63.24/63.41 (define @t465 () (@var "BOUND_VARIABLE_8610" tptp.d)) % 63.24/63.41 (define @t466 () (tptp.tyop_2Eoption_2Eoption @t465)) % 63.24/63.41 (define @t467 () (tptp.s @t466 tptp.c_2Eoption_2ENONE_2E0)) % 63.24/63.41 (define @t468 () (tptp.s @t466 @t198)) % 63.24/63.41 (define @t469 () (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__NONE_2E1 @t468))))) % 63.24/63.41 (define @t470 () (= @t469 (= @t468 @t467))) % 63.24/63.41 (define @t471 () (@var "BOUND_VARIABLE_8618" tptp.u)) % 63.24/63.41 (define @t472 () (@var "BOUND_VARIABLE_8616" tptp.u)) % 63.24/63.41 (define @t473 () (@var "BOUND_VARIABLE_8614" tptp.u)) % 63.24/63.41 (define @t474 () (@var "BOUND_VARIABLE_8612" tptp.d)) % 63.24/63.41 (define @t475 () (@list @t465 @t474 @t473 @t472 @t471 @t198)) % 63.24/63.41 (define @t476 () (= @t469 (= @t467 @t468))) % 63.24/63.41 (define @t477 () (forall @t475 @t476)) % 63.24/63.41 (define @t478 () (forall (@list @t465 @t474 @t473 @t472 @t471) (forall @t202 @t476))) % 63.24/63.41 (define @t479 () (@var "BOUND_VARIABLE_8591" tptp.d)) % 63.24/63.41 (define @t480 () (= tptp.mono_2Ec_2Ebool_2EF_2E0 (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__SOME_2E1 (tptp.s (tptp.tyop_2Eoption_2Eoption @t479) tptp.c_2Eoption_2ENONE_2E0)))))) % 63.24/63.41 (define @t481 () (@var "BOUND_VARIABLE_8599" tptp.u)) % 63.24/63.41 (define @t482 () (@var "BOUND_VARIABLE_8597" tptp.u)) % 63.24/63.41 (define @t483 () (@var "BOUND_VARIABLE_8595" tptp.u)) % 63.24/63.41 (define @t484 () (@var "BOUND_VARIABLE_8593" tptp.d)) % 63.24/63.41 (define @t485 () (forall (@list @t479 @t484 @t483 @t482 @t481) @t480)) % 63.24/63.41 (define @t486 () (@var "BOUND_VARIABLE_8569" tptp.d)) % 63.24/63.41 (define @t487 () (= tptp.mono_2Ec_2Ebool_2ET_2E0 (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__SOME_2E1 (tptp.s (tptp.tyop_2Eoption_2Eoption @t486) (tptp.c_2Eoption_2ESOME_2E1 (tptp.s @t486 @t205)))))))) % 63.24/63.41 (define @t488 () (@var "BOUND_VARIABLE_8577" tptp.u)) % 63.24/63.41 (define @t489 () (@var "BOUND_VARIABLE_8575" tptp.u)) % 63.24/63.41 (define @t490 () (@var "BOUND_VARIABLE_8573" tptp.u)) % 63.24/63.41 (define @t491 () (@var "BOUND_VARIABLE_8571" tptp.d)) % 63.24/63.41 (define @t492 () (forall (@list @t486 @t491 @t490 @t489 @t488 @t205) @t487)) % 63.24/63.41 (define @t493 () (forall (@list @t486 @t491 @t490 @t489 @t488) (forall @t207 @t487))) % 63.24/63.41 (define @t494 () (@var "BOUND_VARIABLE_8548" tptp.d)) % 63.24/63.41 (define @t495 () (tptp.tyop_2Eoption_2Eoption @t494)) % 63.24/63.41 (define @t496 () (not (= (tptp.s @t495 tptp.c_2Eoption_2ENONE_2E0) (tptp.s @t495 (tptp.c_2Eoption_2ESOME_2E1 (tptp.s @t494 @t209)))))) % 63.24/63.41 (define @t497 () (@var "BOUND_VARIABLE_8556" tptp.u)) % 63.24/63.41 (define @t498 () (@var "BOUND_VARIABLE_8554" tptp.u)) % 63.24/63.41 (define @t499 () (@var "BOUND_VARIABLE_8552" tptp.u)) % 63.24/63.41 (define @t500 () (@var "BOUND_VARIABLE_8550" tptp.d)) % 63.24/63.41 (define @t501 () (forall (@list @t494 @t500 @t499 @t498 @t497 @t209) @t496)) % 63.24/63.41 (define @t502 () (forall (@list @t494 @t500 @t499 @t498 @t497) (forall @t212 @t496))) % 63.24/63.41 (define @t503 () (@var "BOUND_VARIABLE_8528" tptp.d)) % 63.24/63.41 (define @t504 () (tptp.tyop_2Eoption_2Eoption @t503)) % 63.24/63.41 (define @t505 () (not (= (tptp.s @t504 tptp.c_2Eoption_2ENONE_2E0) (tptp.s @t504 (tptp.c_2Eoption_2ESOME_2E1 (tptp.s @t503 @t214)))))) % 63.24/63.41 (define @t506 () (forall (@list @t503 @t214) @t505)) % 63.24/63.41 (define @t507 () (@var "BOUND_VARIABLE_8536" tptp.u)) % 63.24/63.41 (define @t508 () (@var "BOUND_VARIABLE_8534" tptp.u)) % 63.24/63.41 (define @t509 () (@var "BOUND_VARIABLE_8532" tptp.u)) % 63.24/63.41 (define @t510 () (@var "BOUND_VARIABLE_8530" tptp.d)) % 63.24/63.41 (define @t511 () (forall (@list @t503 @t510 @t509 @t508 @t507 @t214) @t505)) % 63.24/63.41 (define @t512 () (forall (@list @t503 @t510 @t509 @t508 @t507) (forall @t215 @t505))) % 63.24/63.41 (define @t513 () (@var "BOUND_VARIABLE_8508" tptp.d)) % 63.24/63.41 (define @t514 () (tptp.s @t513 @t217)) % 63.24/63.41 (define @t515 () (= @t514 (tptp.s @t513 (tptp.c_2Eoption_2ETHE_2E1 (tptp.s (tptp.tyop_2Eoption_2Eoption @t513) (tptp.c_2Eoption_2ESOME_2E1 @t514)))))) % 63.24/63.41 (define @t516 () (@var "BOUND_VARIABLE_8516" tptp.u)) % 63.24/63.41 (define @t517 () (@var "BOUND_VARIABLE_8514" tptp.u)) % 63.24/63.41 (define @t518 () (@var "BOUND_VARIABLE_8512" tptp.u)) % 63.24/63.41 (define @t519 () (@var "BOUND_VARIABLE_8510" tptp.d)) % 63.24/63.41 (define @t520 () (forall (@list @t513 @t519 @t518 @t517 @t516 @t217) @t515)) % 63.24/63.41 (define @t521 () (forall (@list @t513 @t519 @t518 @t517 @t516) (forall @t220 @t515))) % 63.24/63.41 (define @t522 () (@var "BOUND_VARIABLE_8485" tptp.d)) % 63.24/63.41 (define @t523 () (tptp.s @t522 @t222)) % 63.24/63.41 (define @t524 () (tptp.s @t522 @t224)) % 63.24/63.41 (define @t525 () (tptp.tyop_2Eoption_2Eoption @t522)) % 63.24/63.41 (define @t526 () (= (tptp.s @t525 (tptp.c_2Eoption_2ESOME_2E1 @t524)) (tptp.s @t525 (tptp.c_2Eoption_2ESOME_2E1 @t523)))) % 63.24/63.41 (define @t527 () (= @t526 (= @t524 @t523))) % 63.24/63.41 (define @t528 () (@var "BOUND_VARIABLE_8493" tptp.u)) % 63.24/63.41 (define @t529 () (@var "BOUND_VARIABLE_8491" tptp.u)) % 63.24/63.41 (define @t530 () (@var "BOUND_VARIABLE_8489" tptp.u)) % 63.24/63.41 (define @t531 () (@var "BOUND_VARIABLE_8487" tptp.d)) % 63.24/63.41 (define @t532 () (@list @t522 @t531 @t530 @t529 @t528 @t224 @t222)) % 63.24/63.41 (define @t533 () (= @t526 (= @t523 @t524))) % 63.24/63.41 (define @t534 () (forall @t532 @t533)) % 63.24/63.41 (define @t535 () (forall (@list @t522 @t531 @t530 @t529 @t528) (forall @t228 @t533))) % 63.24/63.41 (define @t536 () (forall @t125 (= @t123 @t124))) % 63.24/63.41 (define @t537 () (forall @t231 @t536)) % 63.24/63.41 (define @t538 () (@list @t3 @t2 @t6 @t154 @t162)) % 63.24/63.41 (define @t539 () (= @t127 @t128)) % 63.24/63.41 (define @t540 () (forall @t231 @t539)) % 63.24/63.41 (define @t541 () (forall @t231 @t132)) % 63.24/63.41 (define @t542 () (forall @t231 @t138)) % 63.24/63.41 (define @t543 () (forall @t231 @t145)) % 63.24/63.41 (define @t544 () (forall @t150 (= @t147 @t149))) % 63.24/63.41 (define @t545 () (forall @t231 @t544)) % 63.24/63.41 (define @t546 () (= @t153 @t155)) % 63.24/63.41 (define @t547 () (forall @t158 (or (not @t156) @t546))) % 63.24/63.41 (define @t548 () (forall @t231 @t547)) % 63.24/63.41 (define @t549 () (forall @t166 (or (not @t165) @t164))) % 63.24/63.41 (define @t550 () (forall @t231 @t549)) % 63.24/63.41 (define @t551 () (= @t163 @t170)) % 63.24/63.41 (define @t552 () (forall @t173 (or (not @t171) @t551))) % 63.24/63.41 (define @t553 () (forall @t231 @t552)) % 63.24/63.41 (define @t554 () (forall @t178 (= @t176 @t177))) % 63.24/63.41 (define @t555 () (forall @t231 @t554)) % 63.24/63.41 (define @t556 () (forall @t183 (= @t181 @t182))) % 63.24/63.41 (define @t557 () (forall @t231 @t556)) % 63.24/63.41 (define @t558 () (= @t186 @t187)) % 63.24/63.41 (define @t559 () (forall @t190 (or (not @t188) @t558))) % 63.24/63.41 (define @t560 () (forall @t231 @t559)) % 63.24/63.41 (define @t561 () (forall @t196 (= @t194 (= @t127 @t193)))) % 63.24/63.41 (define @t562 () (forall @t231 @t561)) % 63.24/63.41 (define @t563 () (forall @t202 (= @t200 (= @t127 @t199)))) % 63.24/63.41 (define @t564 () (forall @t231 @t563)) % 63.24/63.41 (define @t565 () (= tptp.mono_2Ec_2Ebool_2EF_2E0 @t204)) % 63.24/63.41 (define @t566 () (forall @t231 @t565)) % 63.24/63.41 (define @t567 () (forall @t207 (= tptp.mono_2Ec_2Ebool_2ET_2E0 @t206))) % 63.24/63.41 (define @t568 () (forall @t231 @t567)) % 63.24/63.41 (define @t569 () (forall @t212 (not (= @t127 @t210)))) % 63.24/63.41 (define @t570 () (forall @t231 @t569)) % 63.24/63.41 (define @t571 () (forall @t231 @t216)) % 63.24/63.41 (define @t572 () (forall @t220 (= @t218 @t219))) % 63.24/63.41 (define @t573 () (forall @t231 @t572)) % 63.24/63.41 (define @t574 () (forall @t228 (= @t226 (= @t223 @t225)))) % 63.24/63.41 (define @t575 () (forall @t231 @t574)) % 63.24/63.41 (define @t576 () (and @t575 @t573 @t571 @t570 @t568 @t566 @t564 @t562 @t560 @t557 @t555 @t553 @t550 @t548 @t545 @t543 @t542 @t541 @t540 @t537)) % 63.24/63.41 (define @t577 () (not @t325)) % 63.24/63.41 (define @t578 () (@list @t506)) % 63.24/63.41 (define @t579 () (@quantifiers_skolemize @t322 1)) % 63.24/63.41 (define @t580 () (tptp.s @t310 @t579)) % 63.24/63.41 (define @t581 () (= @t312 (tptp.s @t311 (tptp.c_2Eoption_2ESOME_2E1 @t580)))) % 63.24/63.41 (define @t582 () (tptp.s @t310 (@quantifiers_skolemize @t322 0))) % 63.24/63.41 (define @t583 () (not @t581)) % 63.24/63.41 (define @t584 () (or (not (= @t315 (tptp.s @t311 (tptp.c_2Eoption_2ESOME_2E1 @t582)))) @t583 (not (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t317 (tptp.app_2E2 @t318 @t582)) @t580))))))) % 63.24/63.41 (define @t585 () (@list true)) % 63.24/63.41 (define @t586 () (not @t584)) % 63.24/63.41 (define @t587 () (not @t332)) % 63.24/63.41 (define @t588 () (@list false true)) % 63.24/63.41 (define @t589 () (not @t330)) % 63.24/63.41 (define @t590 () (= tptp.mono_2Ec_2Ebool_2ET_2E0 @t329)) % 63.24/63.41 (define @t591 () (not @t590)) % 63.24/63.41 (define @t592 () (= false true)) % 63.24/63.41 (define @t593 () (= tptp.mono_2Ec_2Ebool_2EF_2E0 @t329)) % 63.24/63.41 (define @t594 () (or @t590 @t593)) % 63.24/63.41 (define @t595 () (@var "BOUND_VARIABLE_9126" tptp.u)) % 63.24/63.41 (define @t596 () (@var "BOUND_VARIABLE_9124" tptp.d)) % 63.24/63.41 (define @t597 () (tptp.s @t596 @t595)) % 63.24/63.41 (define @t598 () (@var "BOUND_VARIABLE_9128" tptp.u)) % 63.24/63.41 (define @t599 () (tptp.s @t596 @t598)) % 63.24/63.41 (define @t600 () (@var "BOUND_VARIABLE_9130" tptp.u)) % 63.24/63.41 (define @t601 () (tptp.tyop_2Emin_2Efun @t596 tptp.tyop_2Emin_2Ebool)) % 63.24/63.41 (define @t602 () (tptp.s (tptp.tyop_2Emin_2Efun @t596 @t601) @t600)) % 63.24/63.41 (define @t603 () (tptp.tyop_2Eoption_2Eoption @t596)) % 63.24/63.41 (define @t604 () (forall (@list @t596 @t595 @t598 @t600) (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EOPTREL_2E3 @t602 (tptp.s @t603 (tptp.c_2Eoption_2ESOME_2E1 @t599)) (tptp.s @t603 (tptp.c_2Eoption_2ESOME_2E1 @t597))))) (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t601 (tptp.app_2E2 @t602 @t599)) @t597)))))) % 63.24/63.41 (define @t605 () (@quantifiers_skolemize @t604 1)) % 63.24/63.41 (define @t606 () (@quantifiers_skolemize @t604 0)) % 63.24/63.41 (define @t607 () (tptp.s @t606 @t605)) % 63.24/63.41 (define @t608 () (@quantifiers_skolemize @t604 2)) % 63.24/63.41 (define @t609 () (tptp.s @t606 @t608)) % 63.24/63.41 (define @t610 () (@quantifiers_skolemize @t604 3)) % 63.24/63.41 (define @t611 () (tptp.tyop_2Emin_2Efun @t606 tptp.tyop_2Emin_2Ebool)) % 63.24/63.41 (define @t612 () (tptp.s (tptp.tyop_2Emin_2Efun @t606 @t611) @t610)) % 63.24/63.41 (define @t613 () (tptp.app_2E2 @t612 @t609)) % 63.24/63.41 (define @t614 () (tptp.s @t611 @t613)) % 63.24/63.41 (define @t615 () (tptp.app_2E2 @t614 @t607)) % 63.24/63.41 (define @t616 () (@list @t606 @t608)) % 63.24/63.41 (define @t617 () (tptp.s tptp.tyop_2Emin_2Ebool @t615)) % 63.24/63.41 (define @t618 () (tptp.j_mono_2Etyop_2Emin_2Ebool @t617)) % 63.24/63.41 (define @t619 () (@var "BOUND_VARIABLE_9104" tptp.u)) % 63.24/63.41 (define @t620 () (@var "BOUND_VARIABLE_9102" tptp.d)) % 63.24/63.41 (define @t621 () (tptp.tyop_2Eoption_2Eoption @t620)) % 63.24/63.41 (define @t622 () (@var "BOUND_VARIABLE_9108" tptp.u)) % 63.24/63.41 (define @t623 () (= tptp.mono_2Ec_2Ebool_2EF_2E0 (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EOPTREL_2E3 (tptp.s (tptp.tyop_2Emin_2Efun @t620 (tptp.tyop_2Emin_2Efun @t620 tptp.tyop_2Emin_2Ebool)) @t622) (tptp.s @t621 tptp.c_2Eoption_2ENONE_2E0) (tptp.s @t621 (tptp.c_2Eoption_2ESOME_2E1 (tptp.s @t620 @t619)))))))) % 63.24/63.41 (define @t624 () (forall (@list @t620 @t619 @t622) @t623)) % 63.24/63.41 (define @t625 () (@quantifiers_skolemize @t624 1)) % 63.24/63.41 (define @t626 () (@quantifiers_skolemize @t624 0)) % 63.24/63.41 (define @t627 () (tptp.c_2Eoption_2ESOME_2E1 (tptp.s @t626 @t625))) % 63.24/63.41 (define @t628 () (tptp.tyop_2Eoption_2Eoption @t626)) % 63.24/63.41 (define @t629 () (tptp.s @t628 @t627)) % 63.24/63.41 (define @t630 () (tptp.s @t628 tptp.c_2Eoption_2ENONE_2E0)) % 63.24/63.41 (define @t631 () (@quantifiers_skolemize @t624 2)) % 63.24/63.41 (define @t632 () (tptp.tyop_2Emin_2Efun @t626 tptp.tyop_2Emin_2Ebool)) % 63.24/63.41 (define @t633 () (tptp.s (tptp.tyop_2Emin_2Efun @t626 @t632) @t631)) % 63.24/63.41 (define @t634 () (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EOPTREL_2E3 @t633 @t630 @t629)))) % 63.24/63.41 (define @t635 () (tptp.s @t626 @t233)) % 63.24/63.41 (define @t636 () (tptp.s @t626 @t235)) % 63.24/63.41 (define @t637 () (forall @t246 (or (not (= @t630 (tptp.s @t628 (tptp.c_2Eoption_2ESOME_2E1 @t636)))) (not (= @t629 (tptp.s @t628 (tptp.c_2Eoption_2ESOME_2E1 @t635)))) (not (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t632 (tptp.app_2E2 @t633 @t636)) @t635)))))))) % 63.24/63.41 (define @t638 () (not @t637)) % 63.24/63.41 (define @t639 () (= @t630 @t629)) % 63.24/63.41 (define @t640 () (and (= @t630 @t630) @t639)) % 63.24/63.41 (define @t641 () (or @t640 @t638)) % 63.24/63.41 (define @t642 () (tptp.p @t634)) % 63.24/63.41 (define @t643 () (= @t642 @t641)) % 63.24/63.41 (define @t644 () (or @t639 @t638)) % 63.24/63.41 (define @t645 () (= @t642 @t644)) % 63.24/63.41 (define @t646 () (@quantifiers_skolemize @t637 0)) % 63.24/63.41 (define @t647 () (tptp.s @t626 @t646)) % 63.24/63.41 (define @t648 () (= @t630 (tptp.s @t628 (tptp.c_2Eoption_2ESOME_2E1 @t647)))) % 63.24/63.41 (define @t649 () (tptp.s @t626 (@quantifiers_skolemize @t637 1))) % 63.24/63.41 (define @t650 () (not @t648)) % 63.24/63.41 (define @t651 () (or @t650 (not (= @t629 (tptp.s @t628 (tptp.c_2Eoption_2ESOME_2E1 @t649)))) (not (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t632 (tptp.app_2E2 @t633 @t647)) @t649))))))) % 63.24/63.41 (define @t652 () (not @t651)) % 63.24/63.41 (define @t653 () (not @t644)) % 63.24/63.41 (define @t654 () (not @t642)) % 63.24/63.41 (define @t655 () (= tptp.mono_2Ec_2Ebool_2ET_2E0 @t634)) % 63.24/63.41 (define @t656 () (not @t655)) % 63.24/63.41 (define @t657 () (= tptp.mono_2Ec_2Ebool_2EF_2E0 @t634)) % 63.24/63.41 (define @t658 () (or @t655 @t657)) % 63.24/63.41 (define @t659 () (not @t657)) % 63.24/63.41 (define @t660 () (not @t624)) % 63.24/63.41 (define @t661 () (not @t593)) % 63.24/63.41 (define @t662 () (not @t309)) % 63.24/63.41 (define @t663 () (not @t302)) % 63.24/63.41 (define @t664 () (not @t272)) % 63.24/63.41 (define @t665 () (@var "BOUND_VARIABLE_9106" tptp.u)) % 63.24/63.41 (define @t666 () (forall (@list @t620 @t619 @t665 @t622) @t623)) % 63.24/63.41 (define @t667 () (@var "BOUND_VARIABLE_9082" tptp.u)) % 63.24/63.41 (define @t668 () (forall (@list @t304 @t667 @t306 @t307) @t308)) % 63.24/63.41 (define @t669 () (@var "BOUND_VARIABLE_9065" tptp.u)) % 63.24/63.41 (define @t670 () (@var "BOUND_VARIABLE_9063" tptp.u)) % 63.24/63.41 (define @t671 () (forall (@list @t268 @t670 @t669 @t270) @t271)) % 63.24/63.41 (define @t672 () (forall @t265 @t260)) % 63.24/63.41 (define @t673 () (@list @t3 @t254 @t45 @t256)) % 63.24/63.41 (define @t674 () (= tptp.mono_2Ec_2Ebool_2EF_2E0 @t261)) % 63.24/63.41 (define @t675 () (forall @t265 @t674)) % 63.24/63.41 (define @t676 () (= tptp.mono_2Ec_2Ebool_2EF_2E0 @t262)) % 63.24/63.41 (define @t677 () (forall @t265 @t676)) % 63.24/63.41 (define @t678 () (= tptp.mono_2Ec_2Ebool_2ET_2E0 @t263)) % 63.24/63.41 (define @t679 () (forall @t265 @t678)) % 63.24/63.41 (define @t680 () (and @t679 @t677 @t675 @t672)) % 63.24/63.41 (define @t681 () (not @t604)) % 63.24/63.41 (define @t682 () (tptp.c_2Eoption_2ESOME_2E1 @t607)) % 63.24/63.41 (define @t683 () (tptp.tyop_2Eoption_2Eoption @t606)) % 63.24/63.41 (define @t684 () (tptp.s @t683 @t682)) % 63.24/63.41 (define @t685 () (tptp.c_2Eoption_2ESOME_2E1 @t609)) % 63.24/63.41 (define @t686 () (tptp.s @t683 @t685)) % 63.24/63.41 (define @t687 () (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EOPTREL_2E3 @t612 @t686 @t684)))) % 63.24/63.41 (define @t688 () (= @t687 @t618)) % 63.24/63.41 (define @t689 () (not @t688)) % 63.24/63.41 (define @t690 () (= tptp.mono_2Ec_2Ebool_2ET_2E0 @t687)) % 63.24/63.41 (define @t691 () (not @t690)) % 63.24/63.41 (define @t692 () (= tptp.mono_2Ec_2Ebool_2ET_2E0 @t618)) % 63.24/63.41 (define @t693 () (not @t692)) % 63.24/63.41 (define @t694 () (not @t689)) % 63.24/63.41 (define @t695 () (and @t302 @t690 @t692 @t689)) % 63.24/63.41 (define @t696 () (= tptp.mono_2Ec_2Ebool_2EF_2E0 @t687)) % 63.24/63.41 (define @t697 () (or @t690 @t696)) % 63.24/63.41 (define @t698 () (tptp.p @t618)) % 63.24/63.41 (define @t699 () (and @t19 @t692)) % 63.24/63.41 (define @t700 () (tptp.p @t687)) % 63.24/63.41 (define @t701 () (not @t700)) % 63.24/63.41 (define @t702 () (not @t696)) % 63.24/63.41 (define @t703 () (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__SOME_2E1 @t275)))) % 63.24/63.41 (define @t704 () (= tptp.mono_2Ec_2Ebool_2EF_2E0 @t703)) % 63.24/63.41 (define @t705 () (not @t704)) % 63.24/63.41 (define @t706 () (tptp.p @t703)) % 63.24/63.41 (define @t707 () (and @t21 @t704 @t696)) % 63.24/63.41 (define @t708 () (tptp.s @t606 @t233)) % 63.24/63.41 (define @t709 () (tptp.s @t606 @t235)) % 63.24/63.41 (define @t710 () (forall @t246 (or (not (= @t686 (tptp.s @t683 (tptp.c_2Eoption_2ESOME_2E1 @t709)))) (not (= @t684 (tptp.s @t683 (tptp.c_2Eoption_2ESOME_2E1 @t708)))) (not (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t611 (tptp.app_2E2 @t612 @t709)) @t708)))))))) % 63.24/63.41 (define @t711 () (not @t710)) % 63.24/63.41 (define @t712 () (tptp.s @t683 tptp.c_2Eoption_2ENONE_2E0)) % 63.24/63.41 (define @t713 () (= @t712 @t686)) % 63.24/63.41 (define @t714 () (and @t713 (= @t712 @t684))) % 63.24/63.41 (define @t715 () (or @t714 @t711)) % 63.24/63.41 (define @t716 () (= @t700 @t715)) % 63.24/63.41 (define @t717 () (= @t686 @t712)) % 63.24/63.41 (define @t718 () (and @t717 (= @t684 @t712))) % 63.24/63.41 (define @t719 () (or @t718 @t711)) % 63.24/63.41 (define @t720 () (= @t700 @t719)) % 63.24/63.41 (define @t721 () (not @t720)) % 63.24/63.41 (define @t722 () (not @t719)) % 63.24/63.41 (define @t723 () (not @t711)) % 63.24/63.41 (define @t724 () (not @t698)) % 63.24/63.41 (define @t725 () (not (= @t684 @t684))) % 63.24/63.41 (define @t726 () (not (= @t686 @t686))) % 63.24/63.41 (define @t727 () (or @t726 @t725 @t724)) % 63.24/63.41 (define @t728 () (= tptp.mono_2Ec_2Ebool_2EF_2E0 @t618)) % 63.24/63.41 (define @t729 () (or @t692 @t728)) % 63.24/63.41 (define @t730 () (= @t115 @t117)) % 63.24/63.41 (define @t731 () (forall @t26 @t730)) % 63.24/63.41 (define @t732 () (@list @t22)) % 63.24/63.41 (define @t733 () (= @t113 @t119)) % 63.24/63.41 (define @t734 () (forall @t26 @t733)) % 63.24/63.41 (define @t735 () (and @t734 @t731)) % 63.24/63.41 (define @t736 () (and @t733 @t730)) % 63.24/63.41 (define @t737 () (and @t733 @t733 @t730 @t730)) % 63.24/63.41 (define @t738 () (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_21_2E1 @t614)))) % 63.24/63.41 (define @t739 () (not @t728)) % 63.24/63.41 (define @t740 () (and @t698 @t728 @t704 @t21)) % 63.24/63.41 (define @t741 () (forall @t50 (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t614 (tptp.s @t606 @t45))))))) % 63.24/63.41 (define @t742 () (tptp.p @t738)) % 63.24/63.41 (define @t743 () (= @t742 @t741)) % 63.24/63.41 (define @t744 () (not @t742)) % 63.24/63.41 (define @t745 () (= tptp.mono_2Ec_2Ebool_2EF_2E0 @t738)) % 63.24/63.41 (define @t746 () (= @t744 @t745)) % 63.24/63.41 (define @t747 () (not @t746)) % 63.24/63.41 (define @t748 () (= @t703 (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t274 tptp.tyop_2Emin_2Ebool) tptp.c_2Eoption_2EIS__SOME_2E0) @t275))))) % 63.24/63.41 (define @t749 () (not @t748)) % 63.24/63.41 (define @t750 () (and @t748 @t704 @t696 @t728 @t689)) % 63.24/63.41 (define @t751 () (and @t19 @t690)) % 63.24/63.41 (define @t752 () (@list false false)) % 63.24/63.41 (define @t753 () (not @t713)) % 63.24/63.41 (define @t754 () (not @t718)) % 63.24/63.41 (define @t755 () (@quantifiers_skolemize @t710 1)) % 63.24/63.41 (define @t756 () (tptp.s @t606 @t755)) % 63.24/63.41 (define @t757 () (@quantifiers_skolemize @t710 0)) % 63.24/63.41 (define @t758 () (tptp.s @t606 @t757)) % 63.24/63.41 (define @t759 () (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t611 (tptp.app_2E2 @t612 @t758)) @t756)))) % 63.24/63.41 (define @t760 () (tptp.p @t759)) % 63.24/63.41 (define @t761 () (not @t760)) % 63.24/63.41 (define @t762 () (= @t684 (tptp.s @t683 (tptp.c_2Eoption_2ESOME_2E1 @t756)))) % 63.24/63.41 (define @t763 () (not @t762)) % 63.24/63.41 (define @t764 () (tptp.s @t683 (tptp.c_2Eoption_2ESOME_2E1 @t758))) % 63.24/63.41 (define @t765 () (= @t686 @t764)) % 63.24/63.41 (define @t766 () (not @t765)) % 63.24/63.41 (define @t767 () (or @t766 @t763 @t761)) % 63.24/63.41 (define @t768 () (not @t767)) % 63.24/63.41 (define @t769 () (@list @t767)) % 63.24/63.41 (define @t770 () (or (= @t39 @t14) @t13)) % 63.24/63.41 (define @t771 () (= @t19 @t761)) % 63.24/63.41 (define @t772 () (or @t771 (= @t759 tptp.mono_2Ec_2Ebool_2ET_2E0))) % 63.24/63.41 (define @t773 () (forall @t17 (or (= @t14 @t39) @t13))) % 63.24/63.41 (define @t774 () (= tptp.mono_2Ec_2Ebool_2ET_2E0 @t759)) % 63.24/63.41 (define @t775 () (or @t771 @t774)) % 63.24/63.41 (define @t776 () (not @t771)) % 63.24/63.41 (define @t777 () (= @t607 @t756)) % 63.24/63.41 (define @t778 () (= @t762 @t777)) % 63.24/63.41 (define @t779 () (= @t758 (tptp.s @t606 (tptp.c_2Eoption_2ETHE_2E1 @t764)))) % 63.24/63.41 (define @t780 () (not @t779)) % 63.24/63.41 (define @t781 () (not @t777)) % 63.24/63.41 (define @t782 () (not @t774)) % 63.24/63.41 (define @t783 () (not @t745)) % 63.24/63.41 (define @t784 () (tptp.c_2Eoption_2ETHE_2E1 @t686)) % 63.24/63.41 (define @t785 () (tptp.s @t606 @t784)) % 63.24/63.41 (define @t786 () (= @t609 @t785)) % 63.24/63.41 (define @t787 () (not @t786)) % 63.24/63.41 (define @t788 () (= @t617 (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool @t618)))) % 63.24/63.41 (define @t789 () (not @t788)) % 63.24/63.41 (define @t790 () (tptp.i_mono_2Etyop_2Emin_2Ebool @t329)) % 63.24/63.41 (define @t791 () (tptp.s tptp.tyop_2Emin_2Ebool @t790)) % 63.24/63.41 (define @t792 () (= @t328 @t791)) % 63.24/63.41 (define @t793 () (not @t792)) % 63.24/63.41 (define @t794 () (= tptp.mono_2Ec_2Ebool_2EF_2E0 @t759)) % 63.24/63.41 (define @t795 () (and @t302 @t774 @t794 @t745 @t593 @t591)) % 63.24/63.41 (assume @p1 (forall (@list @t3 @t2 @t6 @t1) (=> (forall (@list @t8) (= (tptp.s @t2 (tptp.app_2E2 @t7 @t9)) @t10)) (= @t7 @t5)))) % 63.24/63.41 (assume @p2 @t18) % 63.24/63.41 (assume @p3 @t19) % 63.24/63.41 (assume @p4 @t21) % 63.24/63.41 (assume @p5 @t27) % 63.24/63.41 (assume @p6 (forall @t30 (= (tptp.s @t3 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t3 @t3) tptp.combin_i_2E0) @t29)) @t29))) % 63.24/63.41 (assume @p7 (forall (@list @t3 @t2 @t28 @t31) (= (tptp.s @t3 (tptp.app_2E2 (tptp.s @t32 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t3 @t32) tptp.combin_k_2E0) @t29)) (tptp.s @t2 @t31))) @t29))) % 63.24/63.41 (assume @p8 (forall (@list @t3 @t2 @t33 @t6 @t1 @t8) (= (tptp.s @t33 (tptp.app_2E2 (tptp.s @t37 (tptp.app_2E2 (tptp.s @t38 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t35 @t38) tptp.combin_s_2E0) @t36)) @t5)) @t9)) (tptp.s @t33 (tptp.app_2E2 (tptp.s @t34 (tptp.app_2E2 @t36 @t9)) @t10))))) % 63.24/63.41 (assume @p9 (forall @t17 (= (tptp.p (tptp.mono_2Ec_2Ebool_2E_2F_5C_2E2 @t12 @t11)) (and @t15 @t14)))) % 63.24/63.41 (assume @p10 (forall @t17 (= (tptp.p (tptp.mono_2Ec_2Ebool_2E_5C_2F_2E2 @t12 @t11)) (or @t15 @t14)))) % 63.24/63.41 (assume @p11 (forall @t40 (= (tptp.p (tptp.mono_2Ec_2Ebool_2E_7E_2E1 @t12)) @t39))) % 63.24/63.41 (assume @p12 (forall @t17 (= (tptp.p (tptp.mono_2Ec_2Emin_2E_3D_3D_3E_2E2 @t12 @t11)) (=> @t15 @t14)))) % 63.24/63.41 (assume @p13 (forall (@list @t3 @t43 @t41) (= (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Emin_2E_3D_2E2 @t44 @t42)))) (= @t44 @t42)))) % 63.24/63.41 (assume @p14 (forall @t51 (= (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_21_2E1 @t48)))) (forall @t50 @t49)))) % 63.24/63.41 (assume @p15 (forall @t51 (= (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_3F_2E1 @t48)))) (exists @t50 @t49)))) % 63.24/63.41 (assume @p16 @t55) % 63.24/63.41 (assume @p17 (forall @t54 (= (tptp.s @t56 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t57))) @t57))) % 63.24/63.41 (assume @p18 (forall @t54 (= (tptp.s @t58 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @t59))) @t59))) % 63.24/63.41 (assume @p19 (forall @t40 (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool @t12))) @t12))) % 63.24/63.41 (assume @p20 (forall (@list @t60) (= (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t61) @t60))) % 63.24/63.41 (assume @p21 (forall (@list @t62) (= (tptp.j_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29_29 @t63) @t62))) % 63.24/63.41 (assume @p22 (forall @t67 (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_21_2E1 @t65))) (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t66 tptp.c_2Ebool_2E_21_2E0) @t65)))))) % 63.24/63.41 (assume @p23 (forall @t72 (= (and @t71 @t70) (tptp.p (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 tptp.mono_2Ec_2Ebool_2E_2F_5C_2E0 @t69) @t68))))) % 63.24/63.41 (assume @p24 (forall (@list @t3 @t64 @t73) (= (= @t75 @t74) (tptp.p (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t47 (tptp.app_2E2 (tptp.s @t76 tptp.c_2Emin_2E_3D_2E0) @t75)) @t74))))))) % 63.24/63.41 (assume @p25 (forall @t72 (= (=> @t71 @t70) (tptp.p (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 tptp.mono_2Ec_2Emin_2E_3D_3D_3E_2E0 @t69) @t68))))) % 63.24/63.41 (assume @p26 (forall @t67 (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Ebool_2E_3F_2E1 @t65))) (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t66 tptp.c_2Ebool_2E_3F_2E0) @t65)))))) % 63.24/63.41 (assume @p27 (forall @t67 (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__NONE_2E1 @t78))) (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t79 tptp.c_2Eoption_2EIS__NONE_2E0) @t78)))))) % 63.24/63.41 (assume @p28 (forall @t67 (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EIS__SOME_2E1 @t78))) (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t79 tptp.c_2Eoption_2EIS__SOME_2E0) @t78)))))) % 63.24/63.41 (assume @p29 (forall @t67 (= (tptp.s @t77 (tptp.c_2Eoption_2EOPTION__JOIN_2E1 @t81)) (tptp.s @t77 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t80 @t77) tptp.c_2Eoption_2EOPTION__JOIN_2E0) @t81))))) % 63.24/63.41 (assume @p30 (forall (@list @t3 @t2 @t64 @t73) (= (tptp.s @t84 (tptp.c_2Eoption_2EOPTION__MAP_2E2 @t83 @t82)) (tptp.s @t84 (tptp.app_2E2 (tptp.s @t85 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t4 @t85) tptp.c_2Eoption_2EOPTION__MAP_2E0) @t83)) @t82))))) % 63.24/63.41 (assume @p31 (forall @t90 (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EOPTREL_2E3 @t88 @t82 @t87))) (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t79 (tptp.app_2E2 (tptp.s @t89 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t76 @t89) tptp.c_2Eoption_2EOPTREL_2E0) @t88)) @t82)) @t87)))))) % 63.24/63.41 (assume @p32 (forall @t97 (= (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.c_2Eoption_2EOPTREL_2E3 @t94 @t82 @t91))) (tptp.j_mono_2Etyop_2Emin_2Ebool (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 (tptp.s @t95 (tptp.app_2E2 (tptp.s @t96 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t93 @t96) tptp.c_2Eoption_2EOPTREL_2E0) @t94)) @t82)) @t91)))))) % 63.24/63.41 (assume @p33 (forall @t67 (= (tptp.s @t77 (tptp.c_2Eoption_2ESOME_2E1 @t75)) (tptp.s @t77 (tptp.app_2E2 @t99 @t75))))) % 63.24/63.41 (assume @p34 (forall (@list @t2 @t64) (= (tptp.s @t84 (tptp.c_2Eoption_2ESOME_2E1 @t100)) (tptp.s @t84 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t2 @t84) tptp.c_2Eoption_2ESOME_2E0) @t100))))) % 63.24/63.41 (assume @p35 (forall @t67 (= (tptp.s @t80 (tptp.c_2Eoption_2ESOME_2E1 @t78)) (tptp.s @t80 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t77 @t80) tptp.c_2Eoption_2ESOME_2E0) @t78))))) % 63.24/63.41 (assume @p36 (forall @t67 (= (tptp.s @t3 (tptp.c_2Eoption_2ETHE_2E1 @t78)) (tptp.s @t3 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t77 @t3) tptp.c_2Eoption_2ETHE_2E0) @t78))))) % 63.24/63.41 (assume @p37 (forall @t72 (= (or @t71 @t70) (tptp.p (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 tptp.mono_2Ec_2Ebool_2E_5C_2F_2E0 @t69) @t68))))) % 63.24/63.41 (assume @p38 (forall @t97 (= (tptp.s @t2 (tptp.c_2Eoption_2Eoption__CASE_2E3 @t78 @t102 @t101)) (tptp.s @t2 (tptp.app_2E2 (tptp.s @t103 (tptp.app_2E2 (tptp.s @t104 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t77 @t104) tptp.c_2Eoption_2Eoption__CASE_2E0) @t78)) @t102)) @t101))))) % 63.24/63.41 (assume @p39 (forall @t90 (= (tptp.s @t77 (tptp.c_2Eoption_2Eoption__CASE_2E3 @t78 @t82 @t105)) (tptp.s @t77 (tptp.app_2E2 (tptp.s @t106 (tptp.app_2E2 (tptp.s @t107 (tptp.app_2E2 (tptp.s (tptp.tyop_2Emin_2Efun @t77 @t107) tptp.c_2Eoption_2Eoption__CASE_2E0) @t78)) @t82)) @t105))))) % 63.24/63.41 (assume @p40 (forall (@list @t69) (= (not @t71) (tptp.p (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool tptp.mono_2Ec_2Ebool_2E_7E_2E0 @t69))))) % 63.24/63.41 (assume @p41 (forall (@list @t60 @t11) (= (tptp.s tptp.tyop_2Emin_2Ebool (tptp.i_mono_2Etyop_2Emin_2Ebool (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Ebool @t60 @t11))) (tptp.s tptp.tyop_2Emin_2Ebool (tptp.app_2E2 @t61 @t108))))) % 63.24/63.41 (assume @p42 (forall (@list @t62 @t11) (= (tptp.s @t56 (tptp.i_mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 (tptp.mono_2Eapp_2E2_2Emono_2Etyop_2Emin_2Ebool_20mono_2Etyop_2Emin_2Efun_28tyop_2Emin_2Ebool_2Ctyop_2Emin_2Ebool_29 @t62 @t11))) (tptp.s @t56 (tptp.app_2E2 @t63 @t108))))) % 63.24/63.41 (assume @p43 (forall (@list @t110 @t109) (=> (=> @t111 @t112) (=> (=> @t112 @t111) (= @t110 @t109))))) % 63.24/63.41 (assume @p44 (forall @t26 (=> @t20 @t113))) % 63.24/63.41 (assume @p45 (forall (@list @t3 @t22) (= (exists @t50 @t113) @t113))) % 63.24/63.41 (assume @p46 (forall @t26 (and (= (and @t19 @t113) @t113) (= (and @t113 @t19) @t113) (= (and @t20 @t113) @t20) (= (and @t113 @t20) @t20) (= (and @t113 @t113) @t113)))) % 63.24/63.41 (assume @p47 (forall @t26 (and (= (or @t19 @t113) @t19) (= (or @t113 @t19) @t19) (= (or @t20 @t113) @t113) (= (or @t113 @t20) @t113) (= (or @t113 @t113) @t113)))) % 63.24/63.41 (assume @p48 (and (forall @t26 (= (not @t115) @t113)) (= @t114 @t20) (= @t21 @t19))) % 63.24/63.41 (assume @p49 (forall @t30 (= (= @t29 @t29) @t19))) % 63.24/63.41 (assume @p50 @t121) % 63.24/63.41 (assume @p51 @t232) % 63.24/63.41 (assume @p52 @t253) % 63.24/63.41 (assume @p53 @t267) % 63.24/63.41 (assume @p54 true) % 63.24/63.41 (step @p55 :rule eq-symm :args (@t22 tptp.mono_2Ec_2Ebool_2EF_2E0)) % 63.24/63.41 (step @p56 :rule eq-symm :args (@t22 tptp.mono_2Ec_2Ebool_2ET_2E0)) % 63.24/63.41 (step @p57 :rule nary_cong :premises (@p56 @p55) :args (@t25)) % 63.24/63.41 (step @p58 :rule cong :premises (@p57) :args (@t27)) % 63.24/63.41 (step @p59 :rule eq_resolve :premises (@p5 @p58)) % 63.24/63.41 (step @p60 :rule instantiate :premises (@p59) :args ((@list @t279))) % 63.24/63.41 (step @p61 :rule aci_norm :args ((= (or @t282 (or @t281 @t280)) @t283))) % 63.24/63.41 (step @p62 :rule bool-and-de-morgan :args (@t242 @t239 true)) % 63.24/63.41 (step @p63 :rule refl :args (@t282)) % 63.24/63.41 (step @p64 :rule nary_cong :premises (@p63 @p62) :args ((or @t282 (not (and @t242 @t239))))) % 63.24/63.41 (step @p65 :rule bool-and-de-morgan :args (@t244 @t242 (and @t239))) % 63.24/63.41 (step @p66 :rule trans :premises (@p65 @p64)) % 63.24/63.41 (step @p67 :rule trans :premises (@p66 @p61)) % 63.24/63.41 (step @p68 :rule cong :premises (@p67) :args (@t284)) % 63.24/63.41 (step @p69 :rule cong :premises (@p68) :args (@t285)) % 63.24/63.41 (step @p70 :rule exists-elim :args ((= @t247 @t285))) % 63.24/63.41 (step @p71 :rule trans :premises (@p70 @p69)) % 63.24/63.41 (step @p72 :rule eq-symm :args (@t241 @t129)) % 63.24/63.41 (step @p73 :rule eq-symm :args (@t243 @t127)) % 63.24/63.41 (step @p74 :rule nary_cong :premises (@p73 @p72) :args (@t248)) % 63.24/63.41 (step @p75 :rule nary_cong :premises (@p74 @p71) :args (@t249)) % 63.24/63.41 (step @p76 :rule refl :args (@t250)) % 63.24/63.41 (step @p77 :rule cong :premises (@p76 @p75) :args (@t251)) % 63.24/63.41 (step @p78 :rule cong :premises (@p77) :args (@t253)) % 63.24/63.41 (step @p79 :rule eq_resolve :premises (@p52 @p78)) % 63.24/63.41 (step @p80 :rule bool-eq-true :args (@t286)) % 63.24/63.41 (step @p81 :rule absorb :args ((= (or true @t289) true))) % 63.24/63.41 (step @p82 :rule refl :args (@t289)) % 63.24/63.41 (step @p83 :rule eq-refl :args (@t275)) % 63.24/63.41 (step @p84 :rule aci_norm :args ((= @t291 @t290))) % 63.24/63.41 (step @p85 :rule trans :premises (@p84 @p83)) % 63.24/63.41 (step @p86 :rule nary_cong :premises (@p85 @p82) :args (@t292)) % 63.24/63.41 (step @p87 :rule trans :premises (@p86 @p81)) % 63.24/63.41 (step @p88 :rule refl :args (@t286)) % 63.24/63.41 (step @p89 :rule cong :premises (@p88 @p87) :args (@t293)) % 63.24/63.41 (step @p90 :rule trans :premises (@p89 @p80)) % 63.24/63.41 (step @p91 :rule refl :args (@t294)) % 63.24/63.41 (step @p92 :rule cong :premises (@p91 @p90) :args ((=> @t294 @t293))) % 63.24/63.41 (assume-push @p959 @t294) % 63.24/63.41 (step @p94 :rule instantiate :premises (@p79) :args ((@list @t273 @t273 @t276 tptp.c_2Eoption_2ENONE_2E0 tptp.c_2Eoption_2ENONE_2E0))) % 63.24/63.41 (step-pop @p960 :rule scope :premises (@p94)) % 63.24/63.41 (step @p95 :rule process_scope :premises (@p960) :args (@t293)) % 63.24/63.41 (step @p97 :rule eq_resolve :premises (@p95 @p92)) % 63.24/63.41 (step @p98 :rule implies_elim :premises (@p97)) % 63.24/63.41 (step @p99 :rule chain_m_resolution :premises (@p98 @p79) :args (@t286 @t295 @t296)) % 63.24/63.41 (step @p100 :rule refl :args (@t297)) % 63.24/63.41 (step @p101 :rule refl :args (@t299)) % 63.24/63.41 (step @p102 :rule bool-double-not-elim :args (@t20)) % 63.24/63.41 (step @p103 :rule nary_cong :premises (@p102 @p101 @p100) :args ((or @t300 @t299 @t297))) % 63.24/63.41 (assume-push @p961 @t21) % 63.24/63.41 (assume-push @p962 @t298) % 63.24/63.41 (assume-push @p963 @t286) % 63.24/63.41 (step @p107 :rule evaluate :args ((= true false))) % 63.24/63.41 (step @p108 :rule false_intro :premises (@p4)) % 63.24/63.41 (step @p109 :rule symm :premises (@p962)) % 63.24/63.41 (step @p110 :rule cong :premises (@p109) :args (@t286)) % 63.24/63.41 (step @p111 :rule true_intro :premises (@p99)) % 63.24/63.41 (step @p112 :rule symm :premises (@p111)) % 63.24/63.41 (step @p113 :rule trans :premises (@p112 @p110 @p108)) % 63.24/63.41 (step @p114 false :rule eq_resolve :premises (@p113 @p107)) % 63.24/63.41 (step-pop @p964 :rule scope :premises (@p114)) % 63.24/63.41 (step-pop @p965 :rule scope :premises (@p964)) % 63.24/63.41 (step-pop @p966 :rule scope :premises (@p965)) % 63.24/63.41 (step @p115 :rule process_scope :premises (@p966) :args (false)) % 63.24/63.41 (step @p119 :rule not_and :premises (@p115)) % 63.24/63.41 (step @p120 :rule eq_resolve :premises (@p119 @p103)) % 63.24/63.41 (step @p121 :rule chain_m_resolution :premises (@p120 @p4 @p99) :args (@t299 @t301 (@list @t20 @t286))) % 63.24/63.41 (step @p122 :rule cnf_or_pos :args (@t303)) % 63.24/63.41 (step @p123 :rule reordering :premises (@p122) :args ((or @t302 @t298 (not @t303)))) % 63.24/63.41 (step @p124 :rule chain_m_resolution :premises (@p123 @p121 @p60) :args (@t302 @t301 (@list @t298 @t303))) % 63.24/63.41 (step @p125 :rule eq-symm :args (@t53 @t52)) % 63.24/63.41 (step @p126 :rule cong :premises (@p125) :args (@t55)) % 63.24/63.41 (step @p127 :rule eq_resolve :premises (@p16 @p126)) % 63.24/63.41 (step @p128 :rule instantiate :premises (@p127) :args ((@list @t319))) % 63.24/63.41 (step @p129 :rule refl :args 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% 63.24/63.41 (step @p167 :rule trans :premises (@p166 @p165)) % 63.24/63.41 (step @p168 :rule quant-unused-vars :args ((= @t419 (forall (@list @t413 @t412 @t411 @t414 @t168) @t417)))) % 63.24/63.41 (step @p169 :rule quant-merge-prenex :args ((= @t420 @t419))) % 63.24/63.41 (step @p170 :rule trans :premises (@p169 @p168)) % 63.24/63.41 (step @p171 :rule quant-unused-vars :args ((= @t429 (forall (@list @t421 @t175) @t424)))) % 63.24/63.41 (step @p172 :rule quant-merge-prenex :args ((= @t430 @t429))) % 63.24/63.41 (step @p173 :rule trans :premises (@p172 @p171)) % 63.24/63.41 (step @p174 :rule quant-unused-vars :args ((= @t439 (forall (@list @t431 @t180) @t434)))) % 63.24/63.41 (step @p175 :rule quant-merge-prenex :args ((= @t440 @t439))) % 63.24/63.41 (step @p176 :rule trans :premises (@p175 @p174)) % 63.24/63.41 (step @p177 :rule quant-unused-vars :args ((= @t449 (forall (@list @t441 @t185) @t444)))) % 63.24/63.41 (step @p178 :rule quant-merge-prenex :args ((= @t450 @t449))) % 63.24/63.41 (step @p179 :rule trans :premises (@p178 @p177)) % 63.24/63.41 (step @p180 :rule quant-unused-vars :args ((= (forall @t461 @t456) (forall (@list @t451 @t192) @t456)))) % 63.24/63.41 (step @p181 :rule eq-symm :args (@t453 @t454)) % 63.24/63.41 (step @p182 :rule refl :args (@t455)) % 63.24/63.41 (step @p183 :rule cong :premises (@p182 @p181) :args (@t462)) % 63.24/63.41 (step @p184 :rule cong :premises (@p183) :args (@t463)) % 63.24/63.41 (step @p185 :rule trans :premises (@p184 @p180)) % 63.24/63.41 (step @p186 :rule quant-merge-prenex :args ((= @t464 @t463))) % 63.24/63.41 (step @p187 :rule trans :premises (@p186 @p185)) % 63.24/63.41 (step @p188 :rule quant-unused-vars :args ((= (forall @t475 @t470) (forall (@list @t465 @t198) @t470)))) % 63.24/63.41 (step @p189 :rule eq-symm :args (@t467 @t468)) % 63.24/63.41 (step @p190 :rule refl :args (@t469)) % 63.24/63.41 (step @p191 :rule cong :premises (@p190 @p189) :args (@t476)) % 63.24/63.41 (step @p192 :rule cong :premises (@p191) :args (@t477)) % 63.24/63.41 (step @p193 :rule trans :premises (@p192 @p188)) % 63.24/63.41 (step @p194 :rule quant-merge-prenex :args ((= @t478 @t477))) % 63.24/63.41 (step @p195 :rule trans :premises (@p194 @p193)) % 63.24/63.41 (step @p196 :rule quant-unused-vars :args ((= @t485 (forall (@list @t479) @t480)))) % 63.24/63.41 (step @p197 :rule quant-unused-vars :args ((= @t492 (forall (@list @t486 @t205) @t487)))) % 63.24/63.41 (step @p198 :rule quant-merge-prenex :args ((= @t493 @t492))) % 63.24/63.41 (step @p199 :rule trans :premises (@p198 @p197)) % 63.24/63.41 (step @p200 :rule quant-unused-vars :args ((= @t501 (forall (@list @t494 @t209) @t496)))) % 63.24/63.41 (step @p201 :rule quant-merge-prenex :args ((= @t502 @t501))) % 63.24/63.41 (step @p202 :rule trans :premises (@p201 @p200)) % 63.24/63.41 (step @p203 :rule quant-unused-vars :args ((= @t511 @t506))) % 63.24/63.41 (step @p204 :rule quant-merge-prenex :args ((= @t512 @t511))) % 63.24/63.41 (step @p205 :rule trans 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@p158 @p155 @p152 @p149 @p148) :args ((and @t535 @t521 @t512 @t502 @t493 @t485 @t478 @t464 @t450 @t440 @t430 @t420 @t410 @t400 @t390 @t381 @t371 @t360 @t351 @t343))) % 63.24/63.41 (step @p218 :rule alpha_equiv :args (@t537 @t538 (@list @t334 @t341 @t340 @t339 @t338))) % 63.24/63.41 (step @p219 :rule alpha_equiv :args (@t540 @t538 (@list @t344 @t350 @t349 @t348 @t347))) % 63.24/63.41 (step @p220 :rule alpha_equiv :args (@t541 @t538 (@list @t354 @t352 @t358 @t357 @t356))) % 63.24/63.41 (step @p221 :rule alpha_equiv :args (@t542 @t538 (@list @t361 @t363 @t369 @t368 @t367))) % 63.24/63.41 (step @p222 :rule alpha_equiv :args (@t543 @t538 (@list @t372 @t374 @t379 @t378 @t377))) % 63.24/63.41 (step @p223 :rule alpha_equiv :args (@t545 @t538 (@list @t383 @t382 @t388 @t387 @t386))) % 63.24/63.41 (step @p224 :rule alpha_equiv :args (@t548 @t538 (@list @t391 @t398 @t397 @t393 @t396))) % 63.24/63.41 (step @p225 :rule alpha_equiv :args (@t550 @t538 (@list @t401 @t404 @t403 @t408 @t406))) % 63.24/63.41 (step @p226 :rule alpha_equiv :args (@t553 @t538 (@list @t413 @t412 @t411 @t418 @t414))) % 63.24/63.41 (step @p227 :rule alpha_equiv :args (@t555 @t538 (@list @t421 @t428 @t427 @t426 @t425))) % 63.24/63.41 (step @p228 :rule alpha_equiv :args (@t557 @t538 (@list @t431 @t438 @t437 @t436 @t435))) % 63.24/63.41 (step @p229 :rule alpha_equiv :args (@t560 @t538 (@list @t441 @t448 @t447 @t446 @t445))) % 63.24/63.41 (step @p230 :rule alpha_equiv :args (@t562 @t538 (@list @t451 @t460 @t459 @t458 @t457))) % 63.24/63.41 (step @p231 :rule alpha_equiv :args (@t564 @t538 (@list @t465 @t474 @t473 @t472 @t471))) % 63.24/63.41 (step @p232 :rule alpha_equiv :args (@t566 @t538 (@list @t479 @t484 @t483 @t482 @t481))) % 63.24/63.41 (step @p233 :rule alpha_equiv :args (@t568 @t538 (@list @t486 @t491 @t490 @t489 @t488))) % 63.24/63.41 (step @p234 :rule alpha_equiv :args (@t570 @t538 (@list @t494 @t500 @t499 @t498 @t497))) % 63.24/63.41 (step @p235 :rule alpha_equiv :args (@t571 @t538 (@list @t503 @t510 @t509 @t508 @t507))) % 63.24/63.41 (step @p236 :rule alpha_equiv :args (@t573 @t538 (@list @t513 @t519 @t518 @t517 @t516))) % 63.24/63.41 (step @p237 :rule alpha_equiv :args (@t575 @t538 (@list @t522 @t531 @t530 @t529 @t528))) % 63.24/63.41 (step @p238 :rule nary_cong :premises (@p237 @p236 @p235 @p234 @p233 @p232 @p231 @p230 @p229 @p228 @p227 @p226 @p225 @p224 @p223 @p222 @p221 @p220 @p219 @p218) :args (@t576)) % 63.24/63.41 (step @p239 :rule quant-miniscope-and :args ((= (forall @t231 (and @t574 @t572 @t216 @t569 @t567 @t565 @t563 @t561 @t559 @t556 @t554 @t552 @t549 @t547 @t544 @t145 @t138 @t132 @t539 @t536)) @t576))) % 63.24/63.41 (step @p240 :rule trans :premises (@p239 @p238)) % 63.24/63.41 (step @p241 :rule trans :premises (@p240 @p217)) % 63.24/63.41 (step @p242 :rule eq-symm :args (@t124 @t123)) % 63.24/63.41 (step @p243 :rule cong :premises (@p242) :args (@t126)) % 63.24/63.41 (step @p244 :rule eq-symm :args (@t128 @t127)) % 63.24/63.41 (step @p245 :rule refl :args (@t132)) % 63.24/63.41 (step @p246 :rule refl :args (@t138)) % 63.24/63.41 (step @p247 :rule refl :args (@t145)) % 63.24/63.41 (step @p248 :rule eq-symm :args (@t149 @t147)) % 63.24/63.41 (step @p249 :rule cong :premises (@p248) :args (@t151)) % 63.24/63.41 (step @p250 :rule bool-impl-elim :args (@t156 @t546)) % 63.24/63.41 (step @p251 :rule cong :premises (@p250) :args ((forall @t158 (=> @t156 @t546)))) % 63.24/63.41 (step @p252 :rule eq-symm :args (@t155 @t153)) % 63.24/63.41 (step @p253 :rule refl :args (@t156)) % 63.24/63.41 (step @p254 :rule cong :premises (@p253 @p252) :args (@t157)) % 63.24/63.41 (step @p255 :rule cong :premises (@p254) :args (@t159)) % 63.24/63.41 (step @p256 :rule trans :premises (@p255 @p251)) % 63.24/63.41 (step @p257 :rule bool-impl-elim :args (@t165 @t164)) % 63.24/63.41 (step @p258 :rule cong :premises (@p257) :args (@t167)) % 63.24/63.41 (step @p259 :rule bool-impl-elim :args (@t171 @t551)) % 63.24/63.41 (step @p260 :rule cong :premises (@p259) :args ((forall @t173 (=> @t171 @t551)))) % 63.24/63.41 (step @p261 :rule eq-symm :args (@t170 @t163)) % 63.24/63.41 (step @p262 :rule refl :args (@t171)) % 63.24/63.41 (step @p263 :rule cong :premises (@p262 @p261) :args (@t172)) % 63.24/63.41 (step @p264 :rule cong :premises (@p263) :args (@t174)) % 63.24/63.41 (step @p265 :rule trans :premises (@p264 @p260)) % 63.24/63.41 (step @p266 :rule eq-symm :args (@t177 @t176)) % 63.24/63.41 (step @p267 :rule cong :premises (@p266) :args (@t179)) % 63.24/63.41 (step @p268 :rule eq-symm :args (@t182 @t181)) % 63.24/63.41 (step @p269 :rule cong :premises (@p268) :args (@t184)) % 63.24/63.41 (step @p270 :rule bool-impl-elim :args (@t188 @t558)) % 63.24/63.41 (step @p271 :rule cong :premises (@p270) :args ((forall @t190 (=> @t188 @t558)))) % 63.24/63.41 (step @p272 :rule eq-symm :args (@t187 @t186)) % 63.24/63.41 (step @p273 :rule refl :args (@t188)) % 63.24/63.41 (step @p274 :rule cong :premises (@p273 @p272) :args (@t189)) % 63.24/63.41 (step @p275 :rule cong :premises (@p274) :args (@t191)) % 63.24/63.41 (step @p276 :rule trans :premises (@p275 @p271)) % 63.24/63.41 (step @p277 :rule eq-symm :args (@t193 @t127)) % 63.24/63.41 (step @p278 :rule refl :args (@t194)) % 63.24/63.41 (step @p279 :rule cong :premises (@p278 @p277) :args (@t195)) % 63.24/63.41 (step @p280 :rule cong :premises (@p279) :args (@t197)) % 63.24/63.41 (step @p281 :rule eq-symm :args (@t199 @t127)) % 63.24/63.41 (step @p282 :rule refl :args (@t200)) % 63.24/63.41 (step @p283 :rule cong :premises (@p282 @p281) :args (@t201)) % 63.24/63.41 (step @p284 :rule cong :premises (@p283) :args (@t203)) % 63.24/63.41 (step @p285 :rule eq-symm :args (@t204 tptp.mono_2Ec_2Ebool_2EF_2E0)) % 63.24/63.41 (step @p286 :rule eq-symm :args (@t206 tptp.mono_2Ec_2Ebool_2ET_2E0)) % 63.24/63.41 (step @p287 :rule cong :premises (@p286) :args (@t208)) % 63.24/63.41 (step @p288 :rule eq-symm :args (@t210 @t127)) % 63.24/63.41 (step @p289 :rule cong :premises (@p288) :args (@t211)) % 63.24/63.41 (step @p290 :rule cong :premises (@p289) :args (@t213)) % 63.24/63.41 (step @p291 :rule refl :args (@t216)) % 63.24/63.41 (step @p292 :rule eq-symm :args (@t219 @t218)) % 63.24/63.41 (step @p293 :rule cong :premises (@p292) :args (@t221)) % 63.24/63.41 (step @p294 :rule eq-symm :args (@t225 @t223)) % 63.24/63.41 (step @p295 :rule refl :args (@t226)) % 63.24/63.41 (step @p296 :rule cong :premises (@p295 @p294) :args (@t227)) % 63.24/63.41 (step @p297 :rule cong :premises (@p296) :args (@t229)) % 63.24/63.41 (step @p298 :rule nary_cong :premises (@p297 @p293 @p291 @p290 @p287 @p285 @p284 @p280 @p276 @p269 @p267 @p265 @p258 @p256 @p249 @p247 @p246 @p245 @p244 @p243) :args (@t230)) % 63.24/63.41 (step @p299 :rule cong :premises (@p298) :args (@t232)) % 63.24/63.41 (step @p300 :rule trans :premises (@p299 @p241)) % 63.24/63.41 (step @p301 :rule eq_resolve :premises (@p51 @p300)) % 63.24/63.41 (step @p302 :rule and_elim :premises (@p301) :args (2)) % 63.24/63.41 (step @p303 :rule 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63.24/63.42 (step @p762 :rule and_intro :premises (@p3 @p1076)) % 63.24/63.42 (step @p763 :rule modus_ponens :premises (@p762 @p759)) % 63.24/63.42 (step-pop @p1081 :rule scope :premises (@p763)) % 63.24/63.42 (step-pop @p1082 :rule scope :premises (@p1081)) % 63.24/63.42 (step @p764 :rule process_scope :premises (@p1082) :args (@t700)) % 63.24/63.42 (step @p767 :rule implies_elim :premises (@p764)) % 63.24/63.42 (step @p768 :rule cnf_and_neg :args (@t751)) % 63.24/63.42 (step @p769 :rule resolution :premises (@p768 @p767) :args (true @t751)) % 63.24/63.42 (step @p770 :rule chain_m_resolution :premises (@p769 @p3 @p750) :args (@t700 @t752 (@list @t19 @t690))) % 63.24/63.42 (step @p771 :rule cnf_equiv_pos1 :args (@t720)) % 63.24/63.42 (step @p772 :rule reordering :premises (@p771) :args ((or @t719 @t701 @t721))) % 63.24/63.42 (step @p773 :rule chain_m_resolution :premises (@p772 @p770 @p602) :args (@t719 @t752 (@list @t700 @t720))) % 63.24/63.42 (step @p774 :rule cong :premises (@p590) 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@t718 @t722))) % 63.24/63.42 (step @p788 :rule chain_m_resolution :premises (@p787 @p785 @p773) :args (@t711 @t301 (@list @t718 @t719))) % 63.24/63.42 (step @p789 :rule refl :args (@t768)) % 63.24/63.42 (step @p790 :rule nary_cong :premises (@p605 @p789) :args ((or @t723 @t768))) % 63.24/63.42 (assume-push @p1085 @t711) % 63.24/63.42 (step @p792 :rule skolemize :premises (@p1085)) % 63.24/63.42 (step-pop @p1086 :rule scope :premises (@p792)) % 63.24/63.42 (step @p793 :rule process_scope :premises (@p1086) :args (@t768)) % 63.24/63.42 (step @p795 :rule implies_elim :premises (@p793)) % 63.24/63.42 (step @p796 :rule eq_resolve :premises (@p795 @p790)) % 63.24/63.42 (step @p797 :rule chain_m_resolution :premises (@p796 @p788) :args (@t768 @t585 (@list @t710))) % 63.24/63.42 (step @p798 :rule bool-double-not-elim :args (@t765)) % 63.24/63.42 (step @p799 :rule refl :args (@t767)) % 63.24/63.42 (step @p800 :rule nary_cong :premises (@p799 @p798) :args ((or @t767 (not @t766)))) % 63.24/63.42 (step @p801 :rule cnf_or_neg :args (@t767 0)) % 63.24/63.42 (step @p802 :rule eq_resolve :premises (@p801 @p800)) % 63.24/63.42 (step @p803 :rule reordering :premises (@p802) :args ((or @t765 @t767))) % 63.24/63.42 (step @p804 :rule chain_m_resolution :premises (@p803 @p797) :args (@t765 @t585 @t769)) % 63.24/63.42 (step @p805 :rule instantiate :premises (@p364) :args ((@list @t606 @t757))) % 63.24/63.42 (step @p806 :rule refl :args (@t13)) % 63.24/63.42 (step @p807 :rule eq-symm :args (@t39 @t14)) % 63.24/63.42 (step @p808 :rule nary_cong :premises (@p807 @p806) :args (@t770)) % 63.24/63.42 (step @p809 :rule cong :premises (@p808) :args ((forall @t17 @t770))) % 63.24/63.42 (step @p810 :rule refl :args (@t13)) % 63.24/63.42 (step @p811 :rule bool-not-eq-elim1 :args (@t15 @t14)) % 63.24/63.42 (step @p812 :rule nary_cong :premises (@p811 @p810) :args ((or (not @t16) @t13))) % 63.24/63.42 (step @p813 :rule bool-impl-elim :args (@t16 @t13)) % 63.24/63.42 (step @p814 :rule trans :premises (@p813 @p812)) % 63.24/63.42 (step @p815 :rule cong :premises (@p814) :args (@t18)) % 63.24/63.42 (step @p816 :rule trans :premises (@p815 @p809)) % 63.24/63.42 (step @p817 :rule eq_resolve :premises (@p2 @p816)) % 63.24/63.42 (step @p818 :rule eq-symm :args (@t759 tptp.mono_2Ec_2Ebool_2ET_2E0)) % 63.24/63.42 (step @p819 :rule refl :args (@t771)) % 63.24/63.42 (step @p820 :rule nary_cong :premises (@p819 @p818) :args (@t772)) % 63.24/63.42 (step @p821 :rule refl :args (@t773)) % 63.24/63.42 (step @p822 :rule cong :premises (@p821 @p820) :args ((=> @t773 @t772))) % 63.24/63.42 (assume-push @p1087 @t773) % 63.24/63.42 (step @p824 :rule instantiate :premises (@p817) :args ((@list @t759 tptp.mono_2Ec_2Ebool_2ET_2E0))) % 63.24/63.42 (step-pop @p1088 :rule scope :premises (@p824)) % 63.24/63.42 (step @p825 :rule process_scope :premises (@p1088) :args (@t772)) % 63.24/63.42 (step @p827 :rule eq_resolve :premises (@p825 @p822)) % 63.24/63.42 (step @p828 :rule implies_elim :premises (@p827)) % 63.24/63.42 (step @p829 :rule chain_m_resolution :premises (@p828 @p817) :args (@t775 @t295 (@list @t773))) % 63.24/63.42 (step @p830 :rule bool-double-not-elim :args (@t760)) % 63.24/63.42 (step @p831 :rule nary_cong :premises (@p799 @p830) :args ((or @t767 (not @t761)))) % 63.24/63.42 (step @p832 :rule cnf_or_neg :args (@t767 2)) % 63.24/63.42 (step @p833 :rule eq_resolve :premises (@p832 @p831)) % 63.24/63.42 (step @p834 :rule reordering :premises (@p833) :args ((or @t760 @t767))) % 63.24/63.42 (step @p835 :rule chain_m_resolution :premises (@p834 @p797) :args (@t760 @t585 @t769)) % 63.24/63.42 (step @p836 :rule cnf_equiv_pos1 :args (@t771)) % 63.24/63.42 (step @p837 :rule reordering :premises (@p836) :args ((or @t114 @t761 @t776))) % 63.24/63.42 (step @p838 :rule chain_m_resolution :premises (@p837 @p3 @p835) :args (@t776 @t752 (@list @t19 @t760))) % 63.24/63.42 (step @p839 :rule cnf_or_pos :args (@t775)) % 63.24/63.42 (step @p840 :rule reordering :premises (@p839) :args ((or @t774 @t771 (not @t775)))) % 63.24/63.42 (step @p841 :rule chain_m_resolution :premises (@p840 @p838 @p829) :args (@t774 @t301 (@list @t771 @t775))) % 63.24/63.42 (step @p842 :rule and_elim :premises (@p301) :args (0)) % 63.24/63.42 (step @p843 :rule instantiate :premises (@p842) :args ((@list @t606 @t605 @t755))) % 63.24/63.42 (step @p844 :rule bool-double-not-elim :args (@t762)) % 63.24/63.42 (step @p845 :rule nary_cong :premises (@p799 @p844) :args ((or @t767 (not @t763)))) % 63.24/63.42 (step @p846 :rule cnf_or_neg :args (@t767 1)) % 63.24/63.42 (step @p847 :rule eq_resolve :premises (@p846 @p845)) % 63.24/63.42 (step @p848 :rule reordering :premises (@p847) :args ((or @t762 @t767))) % 63.24/63.42 (step @p849 :rule chain_m_resolution :premises (@p848 @p797) :args (@t762 @t585 @t769)) % 63.24/63.42 (step @p850 :rule cnf_equiv_pos1 :args (@t778)) % 63.24/63.42 (step @p851 :rule reordering :premises (@p850) :args ((or @t763 @t777 (not @t778)))) % 63.24/63.42 (step @p852 :rule chain_m_resolution :premises (@p851 @p849 @p843) :args (@t777 @t752 (@list @t762 @t778))) % 63.24/63.42 (step @p853 :rule refl :args (@t780)) % 63.24/63.42 (step @p854 :rule refl :args (@t781)) % 63.24/63.42 (step @p855 :rule refl :args (@t782)) % 63.24/63.42 (step @p856 :rule refl :args (@t766)) % 63.24/63.42 (step @p857 :rule refl :args (@t783)) % 63.24/63.42 (step @p858 :rule refl :args (@t787)) % 63.24/63.42 (step @p859 :rule refl :args (@t789)) % 63.24/63.42 (step @p860 :rule refl :args (@t793)) % 63.24/63.42 (step @p861 :rule bool-double-not-elim :args (@t590)) % 63.24/63.42 (step @p862 :rule nary_cong :premises (@p452 @p442 @p861 @p860 @p658 @p859 @p858 @p857 @p856 @p855 @p854 @p853) :args ((or @t663 @t661 (not @t591) @t793 @t739 @t789 @t787 @t783 @t766 @t782 @t781 @t780))) % 63.24/63.42 (assume-push @p1089 @t302) % 63.24/63.42 (assume-push @p1090 @t774) % 63.24/63.42 (assume-push @p1091 @t794) % 63.24/63.42 (assume-push @p1092 @t745) % 63.24/63.42 (assume-push @p1093 @t593) % 63.24/63.42 (assume-push @p1094 @t591) % 63.24/63.42 (step @p344 :rule evaluate :args (@t592)) % 63.24/63.42 (step @p869 :rule symm :premises (@p1093)) % 63.24/63.42 (step @p870 :rule trans :premises (@p869 @p1092)) % 63.24/63.42 (step @p871 :rule symm :premises (@p870)) % 63.24/63.42 (step @p872 :rule symm :premises (@p1090)) % 63.24/63.42 (step @p873 :rule symm :premises (@p1092)) % 63.24/63.42 (step @p874 :rule trans :premises (@p873 @p1091 @p872 @p1089)) % 63.24/63.42 (step @p875 :rule symm :premises (@p874)) % 63.24/63.42 (step @p876 :rule trans :premises (@p1089 @p875 @p871)) % 63.24/63.42 (step @p877 :rule true_intro :premises (@p876)) % 63.24/63.42 (step @p878 :rule false_intro :premises (@p1094)) % 63.24/63.42 (step @p879 :rule symm :premises (@p878)) % 63.24/63.42 (step @p880 :rule trans :premises (@p879 @p877)) % 63.24/63.42 (step @p881 false :rule eq_resolve :premises (@p880 @p344)) % 63.24/63.42 (step-pop @p1095 :rule scope :premises (@p881)) % 63.24/63.42 (step-pop @p1096 :rule scope :premises (@p1095)) % 63.24/63.42 (step-pop @p1097 :rule scope :premises (@p1096)) % 63.24/63.42 (step-pop @p1098 :rule scope :premises (@p1097)) % 63.24/63.42 (step-pop @p1099 :rule scope :premises (@p1098)) % 63.24/63.42 (step-pop @p1100 :rule scope :premises (@p1099)) % 63.24/63.42 (step @p882 :rule process_scope :premises (@p1100) :args (false)) % 63.24/63.42 (assume-push @p1101 @t302) % 63.24/63.42 (assume-push @p1102 @t593) % 63.24/63.42 (assume-push @p1103 @t591) % 63.24/63.42 (assume-push @p1104 @t792) % 63.24/63.42 (assume-push @p1105 @t728) % 63.24/63.42 (assume-push @p1106 @t788) % 63.24/63.42 (assume-push @p1107 @t786) % 63.24/63.42 (assume-push @p1108 @t745) % 63.24/63.42 (assume-push @p1109 @t765) % 63.24/63.42 (assume-push @p1110 @t774) % 63.24/63.42 (assume-push @p1111 @t777) % 63.24/63.42 (assume-push @p1112 @t779) % 63.24/63.42 (assume-push @p1113 @t779) % 63.24/63.42 (assume-push @p1114 @t765) % 63.24/63.42 (assume-push @p1115 @t786) % 63.24/63.42 (assume-push @p1116 @t777) % 63.24/63.42 (assume-push @p1117 @t788) % 63.24/63.42 (assume-push @p1118 @t728) % 63.24/63.42 (assume-push @p1119 @t593) % 63.24/63.42 (assume-push @p1120 @t792) % 63.24/63.42 (step @p909 :rule symm :premises (@p805)) % 63.24/63.42 (step @p910 :rule cong :premises (@p1109) :args (@t784)) % 63.24/63.42 (step @p911 :rule refl :args (@t606)) % 63.24/63.42 (step @p912 :rule cong :premises (@p911 @p910) :args (@t785)) % 63.24/63.42 (step @p913 :rule trans :premises (@p365 @p912 @p909)) % 63.24/63.42 (step @p914 :rule refl :args (@t612)) % 63.24/63.42 (step @p915 :rule cong :premises (@p914 @p913) :args (@t613)) % 63.24/63.42 (step @p916 :rule refl :args (@t611)) % 63.24/63.42 (step @p917 :rule cong :premises (@p916 @p915) :args (@t614)) % 63.24/63.42 (step @p918 :rule cong :premises (@p917 @p1111) :args (@t615)) % 63.24/63.42 (step @p919 :rule refl :args (tptp.tyop_2Emin_2Ebool)) % 63.24/63.42 (step @p920 :rule cong :premises (@p919 @p918) :args (@t617)) % 63.24/63.42 (step @p921 :rule symm :premises (@p363)) % 63.24/63.42 (step @p922 :rule symm :premises (@p1102)) % 63.24/63.42 (step @p923 :rule trans :premises (@p922 @p1105)) % 63.24/63.42 (step @p924 :rule cong :premises (@p923) :args (@t790)) % 63.24/63.42 (step @p925 :rule cong :premises (@p919 @p924) :args (@t791)) % 63.24/63.42 (step @p926 :rule trans :premises (@p128 @p925 @p921 @p920)) % 63.24/63.42 (step @p927 :rule cong :premises (@p926) :args (@t329)) % 63.24/63.42 (step @p928 :rule trans :premises (@p1102 @p927)) % 63.24/63.42 (step-pop @p1121 :rule scope :premises (@p928)) % 63.24/63.42 (step-pop @p1122 :rule scope :premises (@p1121)) % 63.24/63.42 (step-pop @p1123 :rule scope :premises (@p1122)) % 63.24/63.42 (step-pop @p1124 :rule scope :premises (@p1123)) % 63.24/63.42 (step-pop @p1125 :rule scope :premises (@p1124)) % 63.24/63.42 (step-pop @p1126 :rule scope :premises (@p1125)) % 63.24/63.42 (step-pop @p1127 :rule scope :premises (@p1126)) % 63.24/63.42 (step-pop @p1128 :rule scope :premises (@p1127)) % 63.24/63.42 (step @p929 :rule process_scope :premises (@p1128) :args (@t794)) % 63.24/63.42 (step @p938 :rule and_intro :premises (@p805 @p1109 @p365 @p1111 @p363 @p1105 @p1102 @p128)) % 63.24/63.42 (step @p939 :rule modus_ponens :premises (@p938 @p929)) % 63.24/63.42 (step @p940 :rule and_intro :premises (@p1101 @p1110 @p939 @p1108 @p1102 @p1103)) % 63.24/63.42 (step-pop @p1129 :rule scope :premises (@p940)) % 63.24/63.42 (step-pop @p1130 :rule scope :premises (@p1129)) % 63.24/63.42 (step-pop @p1131 :rule scope :premises (@p1130)) % 63.24/63.42 (step-pop @p1132 :rule scope :premises (@p1131)) % 63.24/63.42 (step-pop @p1133 :rule scope :premises (@p1132)) % 63.24/63.42 (step-pop @p1134 :rule scope :premises (@p1133)) % 63.24/63.42 (step-pop @p1135 :rule scope :premises (@p1134)) % 63.24/63.42 (step-pop @p1136 :rule scope :premises (@p1135)) % 63.24/63.42 (step-pop @p1137 :rule scope :premises (@p1136)) % 63.24/63.42 (step-pop @p1138 :rule scope :premises (@p1137)) % 63.24/63.42 (step-pop @p1139 :rule scope :premises (@p1138)) % 63.24/63.42 (step-pop @p1140 :rule scope :premises (@p1139)) % 63.24/63.42 (step @p941 :rule process_scope :premises (@p1140) :args (@t795)) % 63.24/63.42 (step @p954 :rule implies_elim :premises (@p941)) % 63.24/63.42 (step @p955 :rule resolution :premises (@p954 @p882) :args (true @t795)) % 63.24/63.42 (step @p956 :rule not_and :premises (@p955)) % 63.24/63.42 (step @p957 :rule eq_resolve :premises (@p956 @p862)) % 63.24/63.42 (step @p958 false :rule chain_m_resolution :premises (@p957 @p852 @p841 @p805 @p804 @p707 @p634 @p365 @p363 @p362 @p358 @p128 @p124) :args (false (@list false false false false false false false false false true false false) (@list @t777 @t774 @t779 @t765 @t745 @t728 @t786 @t788 @t593 @t590 @t792 @t302))) % 63.24/63.44 ) % 63.24/63.44 % SZS output end Proof % 63.24/63.44 % cvc5 exiting %------------------------------------------------------------------------------